Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Find the value of $f (- 2), f (- 1), f (0), f (5), f (x^{2}), f (\frac{1}{x})$ for the function $f (x) = \frac{|x|}{x}$ .

The value of function are

$f (- 2) = - 1, f (- 1) = - 1, f (0) = undefined, f (5) = 1, f (x^{2}) = 1, f (\frac{1}{x}) = 1$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Evaluate f−2,f−1,f0 for the given function.

From the given function,

$f (x) = \frac{| x |}{x} .... (1)$

Evaluate the value of function at $x = - 2, - 1, 0$ gives,

role="math" localid="1644518088722" $f (- 2) = \frac{| - 2 |}{- 2} .... (Substitute x = - 2 in (1)) = - 1 f (- 1) = \frac{| (- 1) |}{(- 1)} .... (Substitute x = - 1 in (1)) = - 1 f (0) = \frac{|(0)|}{(0)} .... (Substitute x = 0 in (1)) (Which is undefined)$

Step 2. Evaluate f5,fx2,f1x for the given function.

Similarly, evaluate the value of function (1) at $x = 5, x^{2}, \frac{1}{x}$ gives,

role="math" localid="1644518425397" $f (5) = \frac{| (5) |}{(5)} .... (Substitute x = 5 in (1)) = 1 f (x^{2}) = \frac{| (x^{2}) |}{(x^{2})} .... (Substitute x = x^{2} in (1)) = 1 f (\frac{1}{x}) = \frac{|(\frac{1}{x})|}{(\frac{1}{x})} .... (Substitute x = \frac{1}{x} in (1)) =1$

Step 3. Description of steps.

From the obtained values,

$f (- 2) = - 1, f (- 1) = - 1, f (0) = undefined, f (5) = 1, f (x^{2}) = 1, f (\frac{1}{x}) = 1$ .

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Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Find the value of $f (- 2), f (- 1), f (0), f (5), f (x^{2}), f (\frac{1}{x})$ for the function $f (x) = \frac{|x|}{x}$ .

Step by Step Solution

Step 1. Evaluate f−2,f−1,f0 for the given function.

Step 2. Evaluate f5,fx2,f1x for the given function.

Step 3. Description of steps.

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Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Find the value of f−2,f−1,f0,f5,fx2,f1x for the function fx=xx.

Step by Step Solution

Step 1. Evaluate f−2,f−1,f0 for the given function.

Step 2. Evaluate f5,fx2,f1x for the given function.

Step 3. Description of steps.

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Find the value of $f (- 2), f (- 1), f (0), f (5), f (x^{2}), f (\frac{1}{x})$ for the function $f (x) = \frac{|x|}{x}$ .