Finding X Values Where f(x) > 0: Graph Analysis Solution

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

To solve this problem, we will perform a graphical analysis of where the function $f(x)$ is greater than zero:

• Locate where the graph of $f(x)$ lies above the x-axis, as this indicates positive values of $f(x)$.

• Examine the graph from the bottom to the top to determine intervals or specific points either crossing or not crossing the x-axis.

• Determine if there are any specific segments over which the function is above the x-axis.

By analyzing the graph provided, we observe the path of the curve of $f(x)$ and see that it consistently stays on or below the x-axis, indicating non-positive values. Particularly:

• The point $x = 8$ corresponds to touching the x-axis, indicating zero value, not positive.

• Other than this point, the graph doesn't traverse above the x-axis, confirming non-positive values elsewhere.

Thus, the function $f(x)$ has no intervals where it is positive.

Therefore, the correct conclusion is that the function $f(x)$ has no values where $f\left(x\right) > 0$.