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Chapter 4: Q. 7 (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 (-1,0)鈭�(1,鈭�).

Part b. The solution of the inequality f(x)鈮�0is localid="1646170396621" (-鈭�,-1)鈭�[0,1).

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 the x axis.

From the graph, we can see two intervals -1<x<0and x>1, for which the graph is below the x axis.

So the solution is given as (-1,0)鈭�(1,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 thex axis.

From the graph, we can see two intervals localid="1646170408835" x<-1and localid="1646170413624" 0鈮�x<1, for which the graph is above the x axis.

So the solution is given as localid="1646170421376" (-鈭�,-1)鈭�[0,1).

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Most popular questions from this chapter

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=4x4+7x2-2

For a rational functionR, if the degree of the numerator is less than the degree of the denominator, then R is ________.

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

Ct=t2t2+1

Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.

Solve the inequality algebraically

x3-2x2-3x>0

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=2x4+11x3-5x2-43x+35
See all solutions

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