Look at the function below:
Then determine for which values of the following is true:
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Look at the function below:
Then determine for which values of the following is true:
To solve the problem, let's determine when is greater than zero by following these steps:
**Step 1**: Given the quadratic function , the coefficients are , , and . Apply the quadratic formula:
Simplify further:
This becomes:
**Step 2**: The roots are and . The function changes sign at the roots. Since the quadratic opens upwards (as ), it will be positive between the roots:
**Step 3**: Identify the interval where the quadratic is positive:
Therefore, the values of for which the function is greater than zero are within this interval.
The correct solution is .
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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