Inverse Functions and Their Properties

The video tutorial explains how to graph a function and its inverse, focusing on their symmetry around the line Y = X. It demonstrates finding the inverse of a linear function, graphing both the function and its inverse, and verifying their symmetry. The tutorial also covers graphing quadratic functions and their inverses using a graphing calculator, emphasizing the reflection over the identity line Y = X.

What is the line of symmetry for a function and its inverse?

• y = 0

• x = y

• x = 0

• y = x

How do you find the inverse of a function?

• Multiply x and y

• Switch x and y

• Subtract x from y

• Add x and y

What is the inverse of the function y = 3x + 6?

• y = 3x + 2

• y = 3x - 6

• y = x/3 + 2

• y = x/3 - 2

What is the y-intercept of the inverse function y = 1/3x - 2?

• 0

• -2

• 6

• 2

What is the original function in the quadratic problem?

• f(x) = x^2 - 3

• f(x) = x^2 + 3

• f(x) = x^2 + 6

• f(x) = x^2 - 6

How do you verify the inverse of a quadratic function using a graphing calculator?

• By checking if the graphs are identical

• By checking if the graphs reflect over y = x

• By checking if the graphs are parallel

• By checking if the graphs intersect