![]() ![]() Cut a long, narrow strip up to 2 inches wide. Once you reach the top, pull enough through needed to plug into the TV and detach the string. Craft a fabric cord cover from a decorative scrap of material that matches the rooms decor. Tie the bottom end of the string around your cable and start pulling the top end of the string so the cable starts feeding up behind the wall. Grab it and pull through, without letting go of the top of the string. Keep feeding down until you see it through the exit point (bottom hole). To feed the wires behind the wall, grab a long piece of string, longer than the gap between your entry and exit points and tie a weight (I used a drill bit) to one end, leaving enough string to tie to the wire, or the knot loose enough to undo.ĭrop this weight into the entry point (the top hole) and let gravity take the weight down behind the wall as you feed the string – don’t let go! Do this for both the entry and exit points, but don’t add the brush fronts just yet. Hide Yo Power Cables YOU CAN DO IT In-wall cable-routing kit is designed for easy DIY installation behind any wall-mounted TV. ![]() Baste and sew the Velcro down the length of both sides of the cover. Sew strips together to your desired length using a semi-flat felled seam. Use the appropriate plasterboard rawl plug and screws to attach the plate. DIY Electrical Cord Cover in 5 Steps: Cut fabric length-wise in 6-inch wide strips. To attach the face plates, drill a hole where you marked the screw holes with a wood drill bit. You can either attach the face plates now, or after you feed the wires through the wall. I ironed a little fold over to finish up the ends of each piece and sewed them all up. So if my cord was 60 inches long, that means that each strip was 45 inches by 5 inches. Detach the wires from the TVĭetach the wires from your TV and get them ready to feed through. Each strip was 5 inches wide to make the cord cover 2 inches wide and allow a 1/2 inch for the seams.
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![]() ![]() The sync_folder is the path to the folder to be backed up. The remote_path is the path to the backup on the backup share. The two main fields we’ll update in this table are the remote_path and the sync_folder. If you’re backing up multiple top level folders (like external hard drives) I recommend you experiment with this on your test machine and review this sqlite table (this is where DB Browser for SQLite comes in handy.) For my use case I’m just backing up my users home folder, so I’ve just got one session. I’m not exactly sure how the program decides when to add a new session or add item to the blacklist.filter file. This table will contain all of the top level folders you’re backing up. As far as I can tell this table just contains some info on the backup share that we’ve connected to. ![]() I’ve got a script below that automatically gets the computer name and will run these SQLite commands. You can use this sqlite3 command to update the value: sqlite3 ~/.CloudStationBackup/data/db/sys.sqlite "update connection_table set computer_name = 'COMPUTER NAME' where id=1 "Īnytime you see COMPUTER NAME or USERNAME in the SQLite commands, then you will need to fill in the user’s computer name and/or username. When deploying the software, the only value in this table that we’ll need to update on install is the computer_name field. ![]() The only non-obvious field is the session field. This table contains all of the information to connect to the Synology. The first table in this database is the connection_table. Here’s the breakdown of the sys.sqlite file. There are five values we’ll need to update per install so that we don’t have all of our machines backing up on top of each other. This file contains most of our configuration. Go ahead and exit the app (right click the menu item -> exit.)ġ5. Open the invisible ~/.CloudStationBackup folderġ6. Copy out ~/.CloudStationBackup/data/db/sys.sqlite file Once you’re done with the setup wizard the client will start backing up. On the Summary click Done and then click No need. Walk through the steps until you get to the Summary screen. In this step you’ll want to enter the connection details using the backup user from step one. Once installed it’ll open a setup wizard.ġ4. Walk through the setup wizard and configure the Cloud Station Backup We’re going to install this on a test machine first, so that we can grab two configuration files. Install the Cloud Station Backup software on a test machine or VM You can come back and edit any of this if you ever want to make any changes and it will download the new sync profile to the backup client.ġ3. This should finalize your Cloud Station Server configuration. Click Apply to save the settings configuration Click the Applied User tab, check your backup user, and then click Applyġ2. You can also add file extensions at the bottom like this: *.dmgġ1. Give it a name and uncheck any file types that you don’t want to be backed upġ0. Click User Sync Profiles and click Createĩ. Configure versioning how you’d like it and then click OKĨ. Select the share you just created and click Enableħ. Download the Cloud Station Backup softwareĦ. These credentials will be deployed to connect Cloud Station Backup to your Synology.Ģ. Install Cloud Station Server on your SynologyĤ. I recommend creating a specific user for this with a long random password. Give a user account read/write access to this folder.
![]() If you have a JPEG from a camera that has embedded EXIF data, this will all be preserved during a sync. Meaning posting a New picture on the end that didn’t originate the first picture. Will MS cause a Tampering issue if the container field is altered in anyway, such as you did with Sam’s changes. Does mirrorsync preserve embedded metadata, and/or change files in any way? In other words, will files pass a hash check on both sides of the transfer? Handling large amounts of media content – image and video, for example. You can see the 4-minute video demonstration here: Ĭontainer fields… does mirrorsync preserve contained files eg. I’ve uploaded a quick video to YouTube showing how this works. I’m sure 360works found a clever solution but this is currently my only unanswed concern.Ī lot of people asked this question, which makes me wish that I had taken the time to show this during the webinar. I will try MS because I’m concern about the way it solves the same-record-and-same-field conflicts. Resolving conflicts of data in the same field. If you still have questions about the content we covered or if you’re interested in learning more about leveraging MirrorSync with your existing solution, email FM Academy at conflicts between data inside the same field: how does it happen? Can you show an example? If you asked a question during the webinar, it should be here. I thought that it would be helpful for everybody to see all of the questions and answers, so I’ve put them together into a single list. There were a lot more questions than we had time for. Here’s the video for those of you who missed the live performance: Easily deploy to users in the field with iPads or laptops.Customize scripts to only sync the records that mobile users need to access.Set up a two-way sync between a database hosted on FileMaker Server and a lightweight FileMaker Go database.MirrorSync is completely free for syncing one device. Work on an offline mobile database at the fastest possible speed, and sync your changes with FileMaker Server when you have working network access. 0521 - Introduction to Single-User vs.Thank you to everyone who attended our webinar titled 360Works’ MirrorSync 2- The perfect mobile development solution. MirrorSync is the best way to use your FileMaker database on an iPad, iPhone, or laptop without a network connection.0517 - 3 Types of Buttons and One Glyph - Icon.0513 - Text Fields with User Specified Formatting.0512 - Hiding Objects & Conditional Formatting.0509 - Creating a Survey, Tab Panels & Value Lists.0507 - Added Calc fields and Hiding Objects.0505 - Adding Number Fields and Formatting Currency.0503 - Tour of the Left Pane - Field & Objects Panels.0502 - Tour of the Inspector Pane - Right Side.0265 - Migrating Data to a New Copy of FMSP - Using the FDMT.0260 - Default Tax Rates in FileMaker Invoices - Auto-Enter Values.0252 - Dashboard Charts Part 3 - Performance.0251 - Dashboard Charts Part 2 - Scripting.0239 - Google Maps API Pricing Walkthrough.0237 - Google Maps Walk Through in FMSP.0234 - FMSP Calculating Margin and Markup in Invoices.0233 - FMSP Estimate to Invoice Transfer Button.0232 - FMSP Invoice - New Line Items - Advanced. ![]() 0225 - FMSP Contacts Email Template Walkthrough.0221 - FMSP Account & Contacts Walkthrough.0219 - Script Numbering and Organization.0208 - FMSP Device Support & Layout Organization.0206 - 3 New Data Entry UI Choices FMSP 7.0201 - Quick Overview of FMSP's use in this course.Individuals will obtain a certificate to support their learning in FileMaker 19 Pro upon successful completion of this training course. FileMaker Training for Pro 19 - Complete Course online training is designed to provide individuals with a thorough understanding of the fundamentals as well as advanced principles and practices of FileMaker Pro 19.įileMaker Training for Pro 19 - Complete Course online classes consist 58 hours of pre-recorded video lectures that cover all aspects of FileMaker Pro 19, including basic, intermediate, and advanced concepts such as FM starting point, REST, PHP, OAuth, dynamic window control, security, encryption, fields, layout, relationship, workspace, calculation engine, audit rails, barcode, intermediate integration, and document management. & Senior Engineer which is available through Udemy and is designed for individuals who want to develop databases and customizable applications. FileMaker Training for Pro 19 - Complete Course online certification is designed by Richard Carlton - CEO of Richard Carlton Consulting Inc. for powering the machinery (including caravans) of travelling fairs and circuses.as fuel for all marine craft refuelling and operating in the UK (including fishing and water freight industries), except for propelling private pleasure craft in Northern Ireland.for maintaining community amateur sports clubs as well as golf courses (including activities such as ground maintenance, and the heating and lighting of clubhouses, changing rooms etc.).for heating and electricity generation in non-commercial premises - this includes the heating of homes and buildings such as places of worship, hospitals and townhalls off-grid power generation and non-propulsion uses on permanently-moored houseboats.to propel passenger, freight or maintenance vehicles designed to run on rail tracks.This includes allowing vehicles used for agriculture to be used for cutting verges and hedges, snow clearance and gritting roads ![]() for vehicles and machinery used in agriculture, horticulture, fish farming and forestry.Red diesel used in the construction and infrastructure building sectors was also estimated to have caused 7% of nitrogen oxide emissions and 8% of PM10 emissions (a type of fine particulate matter) in London in 2018.?įrom April 2022 the use of red diesel has been limited to the following purposes: Government figures show that it accounts for around 15% of all the diesel used in the UK and is responsible for the production of nearly 14 million tonnes of carbon dioxide a year. Historically red diesel is diesel used mainly for off-road purposes, such as agriculture, forestry, fisheries, rail, construction industry, or to power drills for oil extraction. The Government has announced changes in the use of rebated red diesel (dyed gasoil) from April 2022. Introduction of E10 Fuel Volatility Ethanol Synthetic Fuels Other Fuels Operating Problems Octane Guidance on the use of Rebated diesel (red diesel) in classic and historic agricultural equipment ![]() Mercedes successfully defended the World Constructors' Championship, securing the title for the sixth consecutive year at the Japanese Grand Prix to tie Ferrari's record from 1999 to 2004. Lewis Hamilton successfully defended the World Drivers' Championship for the second year running, winning his sixth championship title at the United States Grand Prix. The 2019 championship also saw the running of the 1000th World Championship race, the 2019 Chinese Grand Prix. Drivers competed for the title of World Drivers' Champion, and teams for the title of World Constructors' Champion. Starting in March and ending in December, the championship was contested over twenty-one Grands Prix. It is recognised by the governing body of international motorsport, the Fédération Internationale de l'Automobile (FIA), as the highest class of competition for open-wheel racing cars. The 2019 FIA Formula One World Championship was the motor racing championship for Formula One cars which marked the 70th running of the Formula One World Championship. I suppose it was a poor season, as the winner got 6 questions right.Mercedes retained the Constructors' Championship for a sixth consecutive year pictured is the F1 W10 EQ Power+ driven by Valtteri Bottas. ![]() Noone missed a grandprix, though Raikkonen was close.įinally, Silverstone was the race with the biggest win margin and Monaco the one with the smallest. Hamilton on the other hand completed all the races. Sainz was the first retiree of the season on Lap 9 of the Australian Grand Prix, while Grosjean retired 8 times. Toro Rosso improved 3 places will Haas went down 5 places. The last lap of Abu Dhabi determined who would win question 11, while Hamilton's move on Albon in Brazil cemented Albon's name in question 12. Verstappen was the teammate trasher, though Hamilton came close. Up until Hungary, Norris was going to be the rookie of the year, but then Gasly got demoted and Albon made the best of the machine at his disposal. Just mark f1 scored a point on Hamilton's points. ![]() Mercedes' domination was such that we almost didn't score points on the points predictions. Smallest win marginal (Track) 0p/20p Smallest time between winner and second.) Biggest win marginal (Track) 0p/20p Biggest time between winner and second.) First driver to miss a GP (Driver) 0p/20p First to miss a GP weekend for any reason: Injury, Sickness, Released from the team. Least DNFs/DQs in 2019 (Driver) 0p/20p The Driver must have driven in all GPs. Most DNFs/DQs in 2019 (Driver) 0p/20p Does not include DNS and DNQ's) First DNF/DQ of 2019 (Driver) 0p/20p Does not include DNS and DNQ's) Most weakened team (Team) 0p/20p Most weakened WCC standing from 2019. Most improved team (Team) 0p/20p Most improved WCC standing from 2019.) Most points without a podium (Driver) 0p/20p) Most points without a win (Driver) 0p/20p)Īlbon (12. If the teammate changes, their points are combined. 2019 Teammate Trasher (Driver) 0p/20p The driver with most points compared to his teammate. 2019 Rookie Of The Year (Driver) 0p/20p The Rookie with the most points. 2019 Constructors Champion (Points) 0p.20p)īottas (5. Here are the answers for the 20 Questions: ![]() That might mean moving it to a dry patch on the desk or fishing it out of the swimming pool, depending on what happened. Now you’ve disconnected any power sources, it should be safe to lift your MacBook out of the liquid. You need to do this before you move your MacBook to a dry space, even if it means more liquid spills on your MacBook in the meantime.ĭon’t worry about this if your MacBook is running off its battery. If your MacBook is charging, unplug the charger from the wall. ![]() If water spilled onto a power outlet, find the circuit breaker and turn it off. You need to be cautious around water and electricity to avoid getting shocked or starting a fire. The first consideration should be your safety. Safely disconnect your MacBook from power It’s crucial that you don’t let water get in the power outlet. If you spilled water or liquid on your MacBook, follow these instructions as closely as possible to stand the best chance at avoiding liquid damage. Unlike a new iPhone, Apple Watch, or even the AirPods Pro, your MacBook is not water resistant. This is promising, but your MacBook is not the same. We’ve all heard stories of people who dropped their iPhone in water without any permanent damage. What should I do if I spilled water on my MacBook? How to avoid spilling liquid on your Mac in the future.What can I do to fix a MacBook with potential water damage?.Does it matter what type of liquid spilled on my MacBook?.Let your MacBook air dry for at least 48 hours Unplug accessories and disconnect the battery Safely disconnect your MacBook from power What should I do if I spilled water on my MacBook?. Neither Malavida, nor the original developer of the modified app, nor any of their trademarks have any sort of relationship with this version. Downloading, installing and using this program is under the user’s exclusive responsibility, without Malavida being liable for the effects or results that may take place on your device. This program is a modified version of the original application, developed by a third party that has nothing to do with the owner or with Malavida, who have not verified, validates or approved the latter.Of course, you can return to the puzzles whenever you want, solving panels by combining all the fruits. With it, puzzles will be an option, as you can progress in restoring the house without anyone stopping you: unlimited resources to unlock construction elements, furniture, and decoration. The match 3 puzzles can be great to pass the time, but if what you are really interested in is seeing how the house is going to be when finished because you can't wait, then Gardenscapes MOD will surely interest you. That way, you earn money and unlock the elements to fix the house. The thing is that in order to advance in the game, its story and, obviously, the restoration, it is necessary to solve the puzzles. Do not wait to solve the puzzles to see your house finished Enter what number of assets you need to get - Now you need to tap on „Connect" and hold up a second.Gardenscapes is a match 3 game where you can restore an old mansion and improve all its rooms, both inside and outside, including as the garden, as you solve the puzzles and pass levels. Now you've nearly made it! - Then snap on „Generate" and stand by once more. Stage 2-Resource Generating: Select the measures of assets to add to your record, at that point Click "Start create". 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Platforms Supported By OpenXRįrequently Asked Questions (FAQs) – OpenVR Versus OpenXR How Is OpenXR Compatible With OpenVR? The OpenVR is a standard that allows for virtual reality devices to be connected. OpenXR is a standard that allows for virtual and augmented reality devices to be connected. The OpenVR and OpenXR both are competitive standards: they are both open source codebases that allow developers to create a broad range of devices that would be compatible with virtual reality or augmented reality. However, the two are significantly different. Many times, the two are used interchangeably. This is a question that is asked quite often, since the two are often confused. ![]() Difference Between OpenVR and OpenXR Compatible Devices OpenVR is currently the leading VR API in use today and is the primary API used by the OpenVR SDK from Valve. OpenVR is a trademarked product of Valve Corporation, released as a closed-source, proprietary platform designed to be used with Valve’s own hardware. OpenXR is currently not a ratified standard and is releasing in “pre-release” as of this writing. Unlike OpenVR, OpenXR is not a trademarked product of a particular company, but an open-standard free to use platform used by any entity that wishes to use it. Both are intended to provide a single API that works across multiple headsets and controllers. ![]() OpenXR is an API intended to be a direct competitor to OpenVR. Similarities And Differences Between OpenXR And OpenVR Using OpeVR saves money over proprietary standards because companies do not have to develop different content, release several versions of the same game, and worry about customers only being able to run specific types of games on their PCs. This saves money over proprietary standards because companies do not have to develop different content, release several versions of the same game, and worry about customers only being able to run specific types of games on their PCs. On the other hand, OpenVR is an open standard that allows any computer with a standard PC graphics card to be used for development and distribution of virtual reality content. ![]() Using OpenXR, developers will be able to more easily write one set of code that would run on any platform. OpenVR is similar and more of an open standard that allows any computer with a standard PC graphics card to be used for development and distribution of virtual reality content. If (SDL_Init(SDL_INIT_VIDEO | SDL_INIT_TIMER) ::iterator i = m_vecRenderModels.begin() i != m_vecRenderModels.OpenXR is an open-source library developed by The Khronos Group’s Virtual Reality Standards Organization (VRSO) designed to standardize the way XR applications are developed across platforms. UnRequiredBufferLen = pHmd->GetStringTrackedDeviceProperty(unDevice, prop, pchBuffer, unRequiredBufferLen, peError) Uint32_t unRequiredBufferLen = pHmd->GetStringTrackedDeviceProperty(unDevice, prop, NULL, 0, peError) Ĭhar *pchBuffer = new char Std::string GetTrackedDeviceString(vr::IVRSystem *pHmd, vr::TrackedDeviceIndex_t unDevice, vr::TrackedDeviceProperty prop, vr::TrackedPropertyError *peError = NULL) Purpose: Helper to get a string from a tracked device property and turn it Memset(m_rDevClassChar, 0, sizeof(m_rDevClassChar)) other initialization tasks are done in BInit the printf format setting specified in fmt*.ĬMainApplication::CMainApplication(int argc, char *argv)įor (int i = 1 i i + 1) & (*argv != '-')) Purpose: Outputs a set of optional arguments to debugging output, using GLint locMVPReflect, locMVReflect, locNormalReflect, locInvertedCamera Ĭhar *szCubeFaces = īool CreateFrameBuffer(int nWidth, int nHeight, FramebufferDesc &framebufferDesc) ĬGLRenderModel *m_rTrackedDeviceToRenderModel Void ThreadSleep(unsigned long nMilliseconds) #define _countof(x) (sizeof(x)/sizeof((x))) Apple's version of glut.h #undef's APIENTRY, redefine it Genesis 7:20įifteen cubits upward did the waters prevail and the mountains were covered. Genesis 7:19Īnd the waters prevailed exceedingly upon the earth and all the high hills, that under the whole heaven, were covered. Genesis 7:18Īnd the waters prevailed, and were increased greatly upon the earth and the ark went upon the face of the waters. Genesis 7:17Īnd the flood was forty days upon the earth and the waters increased, and bare up the ark, and it was lift up above the earth. Genesis 7:10Īnd it came to pass after seven days, that the waters of the flood were upon the earth. Genesis 7:7Īnd Noah went in, and his sons, and his wife, and his sons' wives with him, into the ark, because of the waters of the flood. Genesis 7:6Īnd Noah six hundred years old when the flood of waters was upon the earth. Genesis 6:17Īnd, behold, I, even I, do bring a flood of waters upon the earth, to destroy all flesh, wherein the breath of life, from under heaven every thing that in the earth shall die. Genesis 1:22Īnd God blessed them, saying, Be fruitful, and multiply, and fill the waters in the seas, and let fowl multiply in the earth. Genesis 1:21Īnd God created great whales, and every living creature that moveth, which the waters brought forth abundantly, after their kind, and every winged fowl after his kind: and God saw that good. Genesis 1:20Īnd God said, Let the waters bring forth abundantly the moving creature that hath life, and fowl may fly above the earth in the open firmament of heaven. Genesis 1:10Īnd God called the dry Earth and the gathering together of the waters called he Seas: and God saw that good. ![]() Genesis 1:9Īnd God said, Let the waters under the heaven be gathered together unto one place, and let the dry appear: and it was so. Genesis 1:7Īnd God made the firmament, and divided the waters which under the firmament from the waters which above the firmament: and it was so. Genesis 1:6Īnd God said, Let there be a firmament in the midst of the waters, and let it divide the waters from the waters. ![]() And the Spirit of God moved upon the face of the waters. Praise God in his sanctuary: praise him in the firmament of his power.Īnd God said, Let the waters bring forth abundantly the moving creature that hath life, and fowl that may fly above the earth in the open firmament of heaven.Īnd they that be wise shall shine as the brightness of the firmament and they that turn many to righteousness as the stars for ever and ever.Īnd God said, Let there be a firmament in the midst of the waters, and let it divide the waters from the waters.Īnd God said, Let there be lights in the firmament of the heaven to divide the day from the night and let them be for signs, and for seasons, and for days, and years:Īnd under the firmament were their wings straight, the one toward the other: every one had two, which covered on this side, and every one had two, which covered on that side, their bodies.Īnd above the firmament that was over their heads was the likeness of a throne, as the appearance of a sapphire stone: and upon the likeness of the throne was the likeness as the appearance of a man above upon it.258 Verses About Waters from 33 Books Genesis 1:2Īnd the earth was without form, and void and darkness upon the face of the deep. And the evening and the morning were the second day. Then I looked, and, behold, in the firmament that was above the head of the cherubims there appeared over them as it were a sapphire stone, as the appearance of the likeness of a throne.Īnd there was a voice from the firmament that was over their heads, when they stood, and had let down their wings.Īnd the likeness of the firmament upon the heads of the living creature was as the colour of the terrible crystal, stretched forth over their heads above.Īnd God called the firmament Heaven. ![]() (To the chief Musician, A Psalm of David.) The heavens declare the glory of God and the firmament sheweth his handywork.Īnd let them be for lights in the firmament of the heaven to give light upon the earth: and it was so. And God made the firmament, and divided the waters which were under the firmament from the waters which were above the firmament: and it was so.Īnd God set them in the firmament of the heaven to give light upon the earth, ![]() The first two steps to drawing a piecewise function. You will have two or more functions which may cross don’t worry about that. In our case, we would be drawing just one line, at x= -3. On your graph paper, draw vertical dotted lines at each of the values of x listed.To graph an piecewise function, first look at the inequalities. This is usually easier to see if you graph the function. The actual value will be given by 16 – 2x, so: At x = 0, x > – 3, so it is the second part of the piecewise function that applies to your situation. ![]() If you try to evaluate it by calculating 2x + 14 = 14 (the first piece), you would be wrong. ![]() The first thing to note is that this particular function has two pieces, split at x = -3. For example, suppose you wanted to evaluate the following function at x = 0. Evaluating a Piecewise Functionįirst identify which piece of your function it belongs in. However, the function is not continuous at the integers, so it isn’t an example of this type of function. For example, the square wave function is piecewise, and it certainly looks like a piecewise continuous function. Just because a graph looks like it’s a piecewise continuous function, it doesn’t mean that it is. Piecewise SmoothĪ piecewise continuous function is piecewise smooth if the derivative is piecewise continuous. But as long as it meets all of the other requirements (for example, as long as the graph is continuous between the undefined points), it’s still considered piecewise continuous. A function could be missing, say, a point at x = 0. Perhaps surprisingly, nothing in the definition states that every point has to be defined. The limit doesn’t exist on one side at x = 0, because of the vertical asymptote. If a function has a vertical asymptote like this, even at the end of an interval, then it isn’t piecewise continuous.Īn example of a non-piecewise continuous function: 1/x. As an example, the function sin(1/x) is not piecewise continuous because the one-sided limit f(0+) doesn’t exist. When trying to figure out if a function is piecewise continuous or not, sometimes it’s easier to spot when a function doesn’t meet the strict definition (rather than trying to prove that it is!).Īn important part of this definition is that the one-sided limits have to exist. In addition, both of the following limits exist and are finite (Doshi, 1998):Įxamples of a Function that is Not Piecewise Continuous In other words, the function is made up of a finite number of continuous pieces.Ī piecewise continuous function f(x), defined on the interval (a < x < b), is continuous at any point x in that interval, except that it could be discontinuous for some finite points x i (i = 1, 2, 3…) such that a < x i < b. Piecewise Continuous FunctionĪ piecewise continuous function is continuous except for a certain number of points. It may or may not be a continuous function. More specifically, it’s a function defined over two or more intervals rather than with one simple equation over the domain. Closed and open circles are used to mark the end points of each function this serves as an additional visual aid to reinforce the domain restrictions on each function.A piecewise function is a function made up of different parts. As students move each slider, constants and coefficients in the functions are changed, and thus the graphs of each function move to satisfy the new parameters. Lab Overview: This GeoGebra lab features several rational functions whose domains are defined by sliders. Closed and open circles are used to mark the end points of each function, which serve as an additional visual aid to reinforce the domain restrictions on each function. Students will also explore domain and range in this activity as they move sliders to adjust the graphs of the piecewise-defined functions. Specifically, it may be used to explore how graphs are constructed from piecewise-defined functions, and how to define functions given a piecewise graph. It would be used in a later unit once students have progressed to more advanced topics involving functions. Lesson Objective: This lab is designed to help students gain a better understanding of piecewise-defined functions. |
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