Finding a rule from a table of values using a combination of operations - Cool math
👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
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✅ Piecewise Functions
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✅ Graph a Piecewise Function | Hard
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrBzgVC-L9hWt__CuwWokzu
✅ Graph a Piecewise Function | Easy
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMojT2bd4b1605W5jWg4zvFd
✅ Evaluate a Piecewise Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrn2-eVYtknkOoomDVYrlQf
✅ Find the Value that Makes the Functions Continuous
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpyOxBu8-BkPCjzhL-AFVtc
✅ Write the Piecewise Function From a Graph
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnCs4Jao_655ts_gUQjTI2
✅ Write the Piecewise Functions From a Table
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Видео Finding a rule from a table of values using a combination of operations - Cool math канала Brian McLogan
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅ Piecewise Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqliLDGubR-K1sO4MgNCT6i
✅ Graph a Piecewise Function | Hard
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrBzgVC-L9hWt__CuwWokzu
✅ Graph a Piecewise Function | Easy
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMojT2bd4b1605W5jWg4zvFd
✅ Evaluate a Piecewise Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrn2-eVYtknkOoomDVYrlQf
✅ Find the Value that Makes the Functions Continuous
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpyOxBu8-BkPCjzhL-AFVtc
✅ Write the Piecewise Function From a Graph
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnCs4Jao_655ts_gUQjTI2
✅ Write the Piecewise Functions From a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoqpDreaEI18gikjlchQTHv
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
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👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#functions #brianmclogan
Видео Finding a rule from a table of values using a combination of operations - Cool math канала Brian McLogan
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