Find X Values in the Graph Where f(x) > 0: A Visual Analysis

The problem is asking us to identify for which $x$ values $f(x) > 0$ based on the graph provided, which seems to depict a quadratic function. Let's go step-by-step:

First, we need to determine the points where the function intersects the x-axis, which are the roots of the function. The graph shows these intersections at $x = -2$ and $x = 2$. These are the points where the function is equal to zero, $f(x) = 0$.

Next, we observe the overall shape of the graph to understand where $f(x) > 0$ (i.e., where the graph is above the x-axis). Typically for a quadratic function, which is a parabola, the parabola will be above the x-axis outside the roots if it opens upwards, and between the roots if it opens downwards, given that $a(x - x_1)(x - x_2) = 0$ with root analysis on $a > 0$.

In the provided graph, the parabola appears to open upwards. Therefore, the function $f(x)$ is positive when $x$ is less than the smaller root, $-2$, or greater than the larger root, $2$. This is a typical behavior for a quadratic function which opens upwards, where it takes negative values inside the range of its roots and positive values outside.

Conclusively, $f(x) > 0$ for the intervals where $x < -2$ or $x > 2$.

Therefore, the solution to the problem is $x > 2$ or $x < -2$.