Understanding Inverse Functions

What is the purpose of the horizontal line test when finding the inverse of a function?

• To determine if the function is continuous

• To identify the domain of the function

• To check if the inverse will also be a function

• To find the maximum value of the function

How is the inverse of a function graphically represented?

• As a reflection over the line y = x

• As a dilation from the origin

• As a rotation around the origin

• As a translation along the x-axis

What does the vertical line test determine for an inverse function?

• If the function is periodic

• If each input has only one output

• If the function is increasing

• If the function is decreasing

When finding the inverse of a function, what happens to the domain and range?

• They remain the same

• They are divided by a constant

• They are multiplied by a constant

• They switch places

Why is it important to apply domain restrictions when finding the inverse function?

• To decrease the domain of the function

• To increase the range of the function

• To make the function continuous

• To ensure the inverse is a function