Find Where f(x) < 0: Analyzing Function with Critical Points at -10, -6, and -2

Find all values of $x$

where $$$f\left(x\right) < 0$.

To solve the problem of finding all $x$ values where $f(x) < 0$, we analyze the graph provided:

The graph of the function $f(x)$ shows it is below the x-axis in the interval from $x = -10$ to $x = -2$. Between these points, $f(x)$ is negative because the complete span of the graph resides beneath the x-axis between these points.

Steps to validate this are:

• Recognize the x-intercepts, which occur at $x = -10$ and $x = -2$, where the curve crosses the x-axis.
• The graph stays below the x-axis between these intercepts, indicating the function is negative.

Thus, the correct interval where $f(x) < 0$ is $-10 < x < -2$.

Therefore, the solution to the problem is $-10 < x < -2$.