Question

determine the domain on which the following graph of $f(x)$ is positive.

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=-4$ and $x=0$.

Step2: Find positive region

The parabola opens downward, so it is positive between its roots.

Answer:

$-4 < x < 0$ (or in interval notation: $(-4, 0)$)