1. Honors Algebra II with Trigonometry Mr. Agnew
Inverse Relations
Honors Algebra II with Trigonometry
Mr. Agnew

2. Essential Question Essential Vocabulary
What is an inverse function and how do you find it?
Essential Vocabulary
Inverse Function
Domain
Range
Reflection

3. The inverse of a function is a function if and only if the original function is one-to- one.
The inverse of a function switches all the x and y values.
The graph of an inverse function is a reflection over the line y = x
Inverse Relations!

4. Examples:
Reflect each graph over the line y = x. a) b)

5. Functions f and g are inverses of each other provided:
𝑓 𝑔 𝑥 =𝑥 𝑎𝑛𝑑 𝑔 𝑓 𝑥 =𝑥
Inverse Relations!

6. Inverse Relations! Steps for Finding Inverses Algebraically:
Switch the x and y
Solve for the new y
Label the inverse
with
Inverse Relations!

7. HOMEWORK 7.2: Inverse Relations