Determine X-Values Where f(x) is Less Than Zero: A Graphical Analysis

Let's analyze the graph to determine where $f(x) < 0$.

The process to follow is:

• Identify the x-axis intersections (roots) where $f(x) = 0$.
• Notice where the graph dips below the x-axis, indicating $f(x) < 0$.
• The graph crosses and only touches the x-axis at $x = -4$.
• The graph lies below the x-axis both to the left and right of $x = -4$.

From this analysis, the function $f(x)$ is negative for all $x$ except at $x = -4$, where it touches but doesn’t dip below the x-axis.

Therefore, the solution is that the function is negative for $x > -4$ or $x < -4$.