Finding a rule from a table of values using a combination of operations - Cool math

Published: 17 November 2011
on channel: Brian McLogan
148,407
1.3k

👉 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.

👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm...

❤️Support my channel by becoming a member:    / @brianmclogan  

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:    / mrbrianmclogan  

Organized Videos:
✅ Piecewise Functions
   • Piecewise Functions  
✅ Graph a Piecewise Function | Hard
   • Graph a Piecewise Function | Hard  
✅ Graph a Piecewise Function | Easy
   • Graph a Piecewise Function | Easy  
✅ Evaluate a Piecewise Function
   • Evaluate a Piecewise Function  
✅ Find the Value that Makes the Functions Continuous
   • Find the Value that Makes the Functio...  
✅ Write the Piecewise Function From a Graph
   • Write the Piecewise Function From a G...  
✅ Write the Piecewise Functions From a Table
   • Write the Piecewise Functions From a ...  

🗂️ Organized playlists by classes here:    / mrbrianmclogan  

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...

Connect with me:
⚡️Facebook -   / freemathvideos  
⚡️Instagram -   / brianmclogan  
⚡️Twitter -   / mrbrianmclogan  
⚡️Linkedin -   / brian-mclogan-16b43623  

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...

👨‍👩‍👧‍👧 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


Watch video Finding a rule from a table of values using a combination of operations - Cool math online without registration, duration hours minute second in high quality. This video was added by user Brian McLogan 17 November 2011, don't forget to share it with your friends and acquaintances, it has been viewed on our site 148,407 once and liked it 1.3 thousand people.