Finding Function Intersections and Values

This video tutorial explains how to determine when two functions are equal, using both algebraic and graphical methods. It emphasizes creating tables of values and plotting graphs to find where functions intersect, which indicates equality. The video also provides practical examples and encourages viewers to engage with the content by printing notes and subscribing to the channel.

What should you do before watching the video?

• Read a book

• Print out the Video Fill-In Notes

• Take a nap

• Watch another video

What is the main focus of Way #20 in the video?

• How to factor polynomials

• How to graph linear equations

• How to pass the Algebra 1 Common Core Regents

• How to solve quadratic equations

When are two functions considered equal?

• When they have the same slope

• When their x-values satisfy both equations

• When their y-values are the same

• When they are parallel

What is the first step in using a table of values to find when functions are equal?

• Create a table of values for each function

• Graph the functions

• Solve the equations algebraically

• Use random x-values

What is the purpose of creating a table of values for each function?

• To solve for y

• To find the slope

• To calculate the y-intercept

• To determine when the functions are equal

What is an alternative method to find when two functions are equal?

• Guess the answer

• Use a calculator

• Plug in easy numbers like 0

• Use complex numbers

What should you do if the easy number doesn't satisfy both equations?

• Try the next easiest number

• Use a different method

• Give up

• Change the equations

What should you do if the functions do not work out to the same number?

• Repeat the steps with the next easiest number

• Use a calculator

• Try a different method

• Give up

How can you visually determine when two functions are equal?

• When they have the same y-intercept

• When they intersect on the graph

• When they are parallel

• When they have the same x-intercept

What is the significance of the intersection point of two graphs?

• It marks the maximum value

• It shows the minimum value

• It indicates where the functions are equal

• It shows where the functions are parallel