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

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

XXXYYY000-2-2-2

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Step-by-step written solution

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1

Understand the problem

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

XXXYYY000-2-2-2

2

Step-by-step solution

Based on the graph provided, we can see the entire function lies below the x-axis. Thus, there is no interval where f(x)>0 f(x) > 0 .

To solve this problem, here's what we observed:

  • Visual inspection of the graph reveals that it never crosses the x-axis from below.
  • Consequently, the function remains non-positive for all x-values visible, indicating it's non-positive overall within the range observable.

Therefore, the function has no domain where it is positive. Therefore, the solution is:

The function has no domain where it is positive

3

Final Answer

The function has no domain where it is positive

Practice Quiz

Test your knowledge with interactive questions

The graph of the function below intersects the X-axis at points A and B.

The vertex of the parabola is marked at point C.

Find all values of \( x \) where \( f\left(x\right) > 0 \).

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