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 the Problem $43$ to evaluate the following:
(a) $f (- 1)$
(b) $f (1)$
(c) $f^{- 1} (1)$
(d) $f^{- 1} (2)$

According to the graph of $f (x)$ and its inverse

(a) $f (- 1) = 0$

(b) $f (1) = 2$

(d) $f^{- 1} (2) = 1$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given data

The given graph is

Step 2. Graph of the inverse function

Points on the graph of the function $f (x)$ are

$(- 2, - 2), (- 1, 0), (0, 1), & (1, 2)$

then the points of the function $f^{- 1} (x)$ will be

$(- 2, - 2), (0, - 1), (1, 0), & (2, 1)$

So the graph of the inverse function is

Step 3. Part (a)

From the graph

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

sorole="math" localid="1646167799685" $f (- 1) = 0$

Step 4. Part (b)

From the graph

$(1, 2)$ is a point on the graph of $f (x)$

sorole="math" localid="1646167820149" $f (1) = 2$

Step 5. Part (c)

From the graph

$(1, 0)$ is a point on the graph of $f^{- 1} (x)$

so $f^{- 1} (1) = 0$

Step 6. Part (d)

From the graph

$(2, 1)$ is a point on the graph of $f^{- 1} (x)$

so $f^{- 1} (2) = 1$

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Use the graph of $y = f (x)$ given in the Problem $43$ to evaluate the following:
(a) $f (- 1)$
(b) $f (1)$
(c) $f^{- 1} (1)$
(d) $f^{- 1} (2)$

Step by Step Solution

Step 1. Given data

Step 2. Graph of the inverse function

Step 3. Part (a)

Step 4. Part (b)

Step 5. Part (c)

Step 6. Part (d)

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Use the graph of y=f(x) given in the Problem 43 to evaluate the following:(a) f(-1)(b) f(1) (c) f-1(1) (d) f-1(2)

Step by Step Solution

Step 1. Given data

Step 2. Graph of the inverse function

Step 3. Part (a)

Step 4. Part (b)

Step 5. Part (c)

Step 6. Part (d)

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Pure Maths

Use the graph of $y = f (x)$ given in the Problem $43$ to evaluate the following:
(a) $f (- 1)$
(b) $f (1)$
(c) $f^{- 1} (1)$
(d) $f^{- 1} (2)$