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 $x = -4$ and $x = 0$.

Step2: Locate region where $f(x)<0$

The graph lies below the x-axis (where $y<0$) between these two intercepts.

Answer:

$-4 < x < 0$