82.5k views
0 votes
Select the interval where f(x)>0

Select the interval where f(x)>0-example-1
Select the interval where f(x)>0-example-1
Select the interval where f(x)>0-example-2

2 Answers

2 votes

Answer:

answer

Explanation:

Select the interval where f(x)>0-example-1
User Nicu Stiurca
by
9.2k points
7 votes

Given:

The graph of f(x).

To find:

The interval where f(x)>0.

Solution:

From the given graph it is clear that the graph of f(x) lies above the axis for the intervals (-4,-1) and (1,∞), so f(x)>0 for
-4<x<-1 and
1<x<\infty.

The graph of f(x) lies below the axis for the intervals (-∞,-4) and (-1,1), so f(x)<0 for
-\infty<x<-4 and
-1<x<1.

Form the given options, interval
-2<x<-1 is the only interval for which the function lies above the x-axis.

Therefore, the correct option is A.

User Tamsler
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.