Find X Values Where the Function f(x) < 0: Graph Analysis

Based on the data in the diagram, find for which X values the graph of the function $f\left(x\right) < 0$

To solve the problem of finding for which $x$ values the function $f(x) < 0$, we proceed as follows:

First, we observe the provided graph of the function. Our goal is to identify the intervals on the $x$-axis where the curve of the function is below the line $y = 0$ (the x-axis). These intervals represent where the function $f(x)$ takes negative values.

Upon examining the graph, we notice that:

• The curve descends below the x-axis starting once it crosses $x = -2$.
• It continues below the x-axis until it reaches $x = 2$.
• Therefore, the function is negative between these two points.

Based on the graph, the interval where $f(x) < 0$ is from $x = -2$ to $x = 2$. Thus, the correct mathematical statement for the values of $x$ where $f(x) < 0$ is $-2 < x < 2$.

The correct choice from the options given is \(\text{$-2 < x < 2$}\).

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