Explanation

In a table, inverse functions swap inputs and outputs.

Example table for f(x):

x | f(x)
1 | 3
2 | 4

Inverse table:

x | f⁻¹(x)
3 | 1
4 | 2

On a graph, inverse functions are reflections across the line:
y = x

This means:

• x and y values switch places

Quiz: Inverse Functions in Graphs and Tables

1. What happens to x and y in an inverse?

2. What line shows reflection for inverse functions?

3. In a table, what is swapped for inverses?

4. If f(2) = 5, what is f⁻¹(5)?

5. True or False: Inverse graphs are mirror images.

Answer Key

1. They switch

2. y = x

3. Inputs and outputs

4. 2

5. True