How to find and graph the inverse of a linear function

The video tutorial explains how to find the inverse of a function using an algorithm. It begins by replacing the function with y, swapping variables, and solving for y. The tutorial demonstrates undoing multiplication by a fraction using the reciprocal. It then shows how to graph the original function and its inverse, emphasizing the reflection about the identity line. The lesson concludes with a discussion on labeling the functions and their inverses.

What is the first step in finding the inverse of a function?

• Reflect the function over the identity line

• Graph the function

• Replace the function with 'y'

• Find the slope

How can you undo multiplication by a fraction?

• Divide by the reciprocal

• Subtract the fraction

• Multiply by the reciprocal

• Add the fraction

What is the slope of the original function 1/4x?

• 4

• 1/4

• 0

• 1

What is the y-intercept of the function 1/4x?

• 0

• 4

• 1/4

• 1

How can you verify that two functions are inverses of each other graphically?

• By checking if they intersect at the origin

• By comparing their y-intercepts

• By ensuring they have the same slope

• By reflecting them over the identity line