The Basics of Inverse Functions (6.3.4)

Question 1

What do inverse functions do to each other?

Answer 1

• Inverse functions undo each other.

Question 2

What two things switch roles in an inverse function’s graph?

Answer 2

• In inverse functions, the dependent variable and independent variable switch roles. The graph of an inverse function looks like a mirror reflection of the original graph.

Question 3

Functions that are not one-to-one do not have what?

Answer 3

• Functions that are not one-to-one do not have inverses. One-to-one functions pass both the vertical line test and the horizontal line test.