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Q. 74

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Precalculus Enhanced with Graphing Utilities
Found in: Page 269
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

Use the graph of y=f(x) given in Problem 44 to evaluate

the following:

(a) f(2)

(b) f(1)

(c) f-1(0)

(d) f-1(-1)

According to the graph ofy=f(x) and its inverse

(a)f(2)=12

(b)f(1)=0

(c) f-1(0)=1

(d) f-1(-1)=0

See the step by step solution

Step by Step Solution

Step 1. Given data 

Graph of y=f(x) is

Step 2. Graph of the inverse function 

Points on the graph of y=f(x) are

(-2,-2),( 0,-1), (1,0),(2,0.5)

then the points on the inverse function y=f-1(x)will be

(-2,-2),(-1,0),(0,1),(0.5,2)

So the graph of the inverse function is

Step 3. Part (a) 

From the graph

2,12is a point on the graph of y=f(x)

sorole="math" localid="1646169175430" f(2)=12

Step 4. Part (b) 

From the graph

(1,0) is a point on the graph of y=f(x)

sof(1)=0

Step 5. Part (c) 

From the graph

(0,1)is a point on the graph of y=f-1(x)

sof-1(0)=1

Step 6. Part (d) 

From the graph

(-1,0)is a point on the graph of y=f-1(x)

sof-1(-1)=0

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