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 $x=-7$ and $x=1$.

Step2: Find negative regions

The parabola opens downward, so $f(x)<0$ when $x < -7$ or $x > 1$.

Answer:

$(-\infty, -7) \cup (1, \infty)$