Section 13.2: Understanding Inverse Functions

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Presentation transcript:

Section 13.2: Understanding Inverse Functions

Objective: By following instructions, students will be able to: Recognize inverses of functions from their graphs and how can you find inverses of function.

Graph the relation and connect the points. Then graph the inverse Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. explain 1A x 1 2 4 8 y 5 6 7

Graph the relation and connect the points. Then graph the inverse Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. explain 1B x 1 3 4 5 6 y 2

Your-Turn #1 Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. x 1 2 3 5 7 y 4 6 8 9

explain 2 Use inverse operations to find each inverse. Then check your solution. a) b)

Your-Turn #2 Use inverse operations to find each inverse. Then check your solution.

Write the inverse of each function Write the inverse of each function. Then graph the function together with its inverse. explain 3A

Write the inverse of each function Write the inverse of each function. Then graph the function together with its inverse. explain 3B

Your-Turn #3 Write the inverse of the function. Then graph the function together with its inverse.

Solve each problem by finding and evaluating the inverse function. explain 4 Llyod is trying to find the original price of a camera he bought as a gift, but he does not have the store receipt. From the bank transaction, he knows that including a $3 gift-wrap charge and 8% tax, the total was $103.14. What was the original price of the camera? Justify your answer.

Objective: Did we… Recognize inverses of functions from their graphs and how can you find inverses of function?

HW: Sec 13.2 pg 472 #s 1-14, 24