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

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

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!

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

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

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

HOMEWORK 7.2: Inverse Relations