Question

the graph of $y = f(x)$ is shown below. find all values of $x$ for which $f(x) < 0$.

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=-5$ and $x=3$.

Step2: Find where graph is below x-axis

The parabola opens upward, so it lies below the x-axis (where $f(x)<0$) between its two x-intercepts.

Answer:

$-5 < x < 3$