Parabola Function Analysis: Finding Positive Values Above X-Axis

The graph of the function below does not intersect the x x -axis.

The parabola's vertex is marked A.

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

AAAX

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Step-by-step written solution

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1

Understand the problem

The graph of the function below does not intersect the x x -axis.

The parabola's vertex is marked A.

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

AAAX

2

Step-by-step solution

Based on the given graph characteristics, we conclude that the parabola never intersects the x x -axis and is therefore entirely above it due to opening upwards. This means the function is always positive for every x x .

Thus, the correct choice is:

  • Choice 3: The domain is always positive.

Therefore, the solution to the problem is the domain is always positive.

3

Final Answer

The domain is always 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 \( f\left(x\right) > 0 \).

AAABBBCCCX

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