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Chapter 4: Q. 6 (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)<0is (-1,1)鈭�(2,鈭�).

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

Step by step solution

01

Part (a) Step 1. Find the values for which the graph is below 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 thex axis.

From the graph, we can see two intervals -1<x<1and x>2, for which the graph is below the x axis.

So the solution is given as (-1,1)鈭�(2,鈭�).

02

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

From the graph, we can see two intervals x鈮�-1and 1鈮�x鈮�2, for which the graph is above the x axis.

So the solution is given as (-鈭�,-1]鈭�[1,2].

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Most popular questions from this chapter

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=3x4-3x3+x2-x+1

True or False : A test number for the interval-2<x<5could be 4.

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=x5-x4+2x2+3

Find the domain of the rational function.

-4x2x-2(x+4)

Graph each rational function using transformations.

R(x)=x2-4x2
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