Question

Select the interval where f(x)>0

Answer 1

answer

Explanation:

Answer 2

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.