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 this problem, we will apply the following steps:
Let's start with Step 1: Find the roots of the function .
We use the quadratic formula:
Substituting , we get:
Thus, the roots are:
Simplifying further gives us , so:
The roots are and .
Step 2: Determine the sign of the quadratic.
Since the parabola opens upward (coefficient of is positive), it is below the x-axis between the roots and above the x-axis outside the roots.
Step 3: Conclude values for which .
for or .
Finally, the solution to the problem is: or .
or
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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