Analyze the Graph: Finding Intervals Where f(x) < 0

To solve this problem, we need to determine the values of $x$ where $f(x) < 0$. Given the graph, observe that this condition occurs between the x-intercepts.

The provided graph shows that $f(x) = 0$ at $x = -3$ and $x = 3$, which are the intercepts. To find where $f(x)$ is negative, observe where the parabola dips below the x-axis. This happens between the points:

• From $x = -3$ the graph dips below the x-axis until $x = 3$.

Thus, the function $f(x) < 0$ within the interval $-3 < x < 3$.

Based on this analysis, we identify the intervals where $f(x)$ is below the x-axis:

Since we need $f(x) < 0$, we observe it happens outside the interval of the roots, specifically:

$x < -3$ and $x > 3$.

Therefore, the solution to the problem is $x > 3$ or $x < -3$.