select the interval where $f(x)>0$.\nchoose 1 answer:\na $-2 < x < -1$\nb $1 < x < 2$\nc $4 < x < 5$

Explanation:

Step1: Analyze the graph

We need to find where the graph of $y = f(x)$ is above the $x$-axis (since $y=f(x)>0$ means the $y -$ values are positive).

Step2: Check option A

For $-2 < x < -1$, the graph of $y = f(x)$ is below the $x$-axis, so $f(x)<0$ in this interval.

Step3: Check option B

For $1 < x < 2$, the graph of $y = f(x)$ is above the $x$-axis, so $f(x)>0$ in this interval.

Step4: Check option C

The graph shown only goes up to $x = 4$, so the interval $4 < x < 5$ is not part of the given graph.

Answer:

B. $1 < x < 2$