Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 4: Q. 8 (page 241)

Use the graph of the function f to solve the inequality.
(a) $f (x) > 0$
(b) $f (x) 鈮� 0$

Short Answer

Expert verified

Part a. The solution of the inequality $f (x) > 0$ is role="math" localid="1646170593198" $(- 鈭�, - 1) 鈭� (- 1, 1) 鈭� (3, 鈭�)$ .

Part b. The solution of the inequality $f (x) 鈮� 0$ is $[1, 2) 鈭� (2, 3]$ .

Step by step solution

Part (a) Step 1. Find the values for which the graph is above the x axis

To find the solution of $f (x) > 0$ , we need to find the values of x for which the graph is below the x axis.

From the graph, we can see two intervals $x < 1$ and $x > 3$ , for which the graph is below the x axis. Also the function is not defined for $x = - 1$ and $x = 2$ .

So the solution is given as $(- 鈭�, - 1) 鈭� (- 1, 1) 鈭� (3, 鈭�)$ .

Part (b) Step 1. Find the values for which the graph is below the x axis

To find the solution of $f (x) 鈮� 0$ , we need to find the values of x for which the graph is below the x axis.

From the graph, we can see that for the interval $[1, 3]$ the graph is below the x axis. The function is not defined for $x = - 1$ and $x = 2$ .

So the solution is given as $[1, 2) 鈭� (2, 3]$ .

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91影视

Use the graph of the function f to solve the inequality.
(a) $f (x) > 0$
(b) $f (x) 鈮� 0$

Short Answer

Step by step solution

Part (a) Step 1. Find the values for which the graph is above the x axis

Part (b) Step 1. Find the values for which the graph is below the x axis

One App. One Place for Learning.

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91影视

Use the graph of the function f to solve the inequality. (a)f(x)>0(b)f(x)鈮�0

Short Answer

Step by step solution

Part (a) Step 1. Find the values for which the graph is above the x axis

Part (b) Step 1. Find the values for which the graph is below the x axis

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Discrete Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the graph of the function f to solve the inequality.
(a) $f (x) > 0$
(b) $f (x) 鈮� 0$