Inverse Functions & Relations

Lesson: 

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Subject: 

Description: 

This worksheet contains problems where students must find and graph the inverse of a relation and the inverse of functions. Problems also include finding the composition of inverse functions.

Number of Problems: 

0

Pages: 

0

Answer Key: 

No

Samples: 

1-4 Graph the relation and its inverse. Use open circles to graph the points of the inverse.

5-8 Find the inverse of the function.

9-10 Graph a function and its inverse

11-12 Given a function, find its inverse. Determine if the inverse is a function.

13. Police can estimate the speed of a vehicle before the brakes are applied using the formula .75d = s2/30.25, where s is the speed in miles per hour and d is the length of the vehicle?s skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 100 feet?

16. For the function f(x) = x + 6, find (f · f-1 )(2)

17. Consider the relation s given by the values in the table.

a. Find the inverse of relation s
b. Graph s and its inverse.
c. Describe the relationship between the line y = x and the graphs of s and its inverse.
d. Is the relation s a function? How do you know? e. Is the inverse of s a function? How do you know?