Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In problems 3-6, use the figure to solve each inequality.
a) $f (x) > 0$
b) $f (x) \leq 0$

a) $(- \infty, - 2)$ or $(2, \infty)$

b) $[- 2, 2]$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part (a) Step 1. Given Information

It is given that, $f (x) > 0$ and the graph is,

Part (a) Step 2. Observe the graph

From the graph, it is observed that the value of $y$ or $f (x)$ is positive for role="math" localid="1646049546322" $x < - 2$ or $x > 2$ .
In set builder form, for $f (x) > 0$ , $\{x | x < - 2 o r x > 2\}$ . Also, in interval notation it is denoted as $(- \infty, - 2) o r (2, \infty)$ .

Part (b) Step 1. Given Information

It is given that, $f (x) \leq 0$ and the graph is,

Part (b) Step 2. Observe the graph

From the graph, it is observed that the value of $y = f (x)$ is negative or equal to 0 for $- 2 \leq x \leq 2$ .
In set builder form, for $f (x) \leq 0$ , ${x | - 2 \leq x \leq 2}$ . Also, in interval notation it is denoted as $[- 2, 2]$ .

x	$y = f (x)$
-2	$\frac{1}{4}$
-1	$\frac{1}{2}$
0	1
1	2
2	4

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In problems 3-6, use the figure to solve each inequality.
a) $f (x) > 0$
b) $f (x) \leq 0$

Step by Step Solution

Part (a) Step 1. Given Information

Part (a) Step 2. Observe the graph

Part (b) Step 1. Given Information

Part (b) Step 2. Observe the graph

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In problems 3-6, use the figure to solve each inequality.a) f(x)>0b) f(x)≤0

Step by Step Solution

Part (a) Step 1. Given Information

Part (a) Step 2. Observe the graph

Part (b) Step 1. Given Information

Part (b) Step 2. Observe the graph

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In problems 3-6, use the figure to solve each inequality.
a) $f (x) > 0$
b) $f (x) \leq 0$