Question

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 parabola crosses the x-axis at $x=-2$ and $x=5$.

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

$f(x)<0$ means the graph is below the x-axis. This occurs when $x < -2$ or $x > 5$.

Answer:

All real numbers $x$ such that $x < -2$ or $x > 5$, or in interval notation: $(-\infty, -2) \cup (5, \infty)$