Warm up Do Problems 20 and 22.

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3.4 Inverse Functions & Relations

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Presentation transcript:

Warm up Do Problems 20 and 22

Homework Questions

Homework Questions

Use Inverse Functions (Section 6-4) Essential Question: How do you find the inverse relation of a given function? Assessment: Students will write a summary of how to find the inverse in their notes.

Key Term: Inverse relation: A relation that interchanges the input and output values of the original relation

Find an equation for the inverse relation. Example 1

Find an equation for the inverse relation. Example 2 y = x + 4

Find an equation for the inverse relation. Example 3 y = -2x + 7

Find an equation for the inverse relation. Example 4 y = x – 1

Key Term Inverse functions - The original relation and its inverse relation, whenever both relations are functions

Verify that f and g are inverse functions. Example 5

Verify that f and g are inverse functions. Example 6

Verify that f and g are inverse functions. Example 7

Find the inverse of the function. Example 8

Find the inverse of the function. Example 9

Find the inverse of the function. Example 10

Graph the function f. Then use the graph to determine whether the inverse of f is a function. Example 1

Graph the function f. Then use the graph to determine whether the inverse of f is a function. Example 12

Write Your Summary ! HW- Pg. 442-443 # 3-43 (eoo) , 21