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

Question

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

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Step-by-Step Solution

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

  • Locate where the graph of f(x) f(x) lies above the x-axis, as this indicates positive values of f(x) 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) f(x) and see that it consistently stays on or below the x-axis, indicating non-positive values. Particularly:

  • The point x=8 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) f(x) has no intervals where it is positive.

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

Answer

No such values.