Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) < 0
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) < 0
To solve for when f(x) < 0 on the graph, we follow these steps:
Step 1: Locate the x-intercepts, where the curve intersects the x-axis. These intercepts are and .
Step 2: Analyze the sections determined by these intercepts. The graph is below the x-axis to the left of and to the right of .
By visually inspecting the graph, it is evident that:
The function is below the x-axis (i.e., negative) for x < 2 and x > 8 .
Therefore, the solution to the problem is that the graph of the function is negative for x > 8 or x < 2 .
x > 8 or x < 2