Question

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

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=-5$ and $x=-1$.

Step2: Find where $f(x)<0$

The parabola opens downward, so it is negative (below the x-axis) when $x < -5$ or $x > -1$.

Answer:

$(-\infty, -5) \cup (-1, \infty)$