Find the intervals where the function is increasing:
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Find the intervals where the function is increasing:
To find the intervals on which the quadratic function is increasing, we perform the following steps:
Step 1: Expand the quadratic to standard form:
Step 2: Find the derivative of the function:
The derivative, , is found by differentiating :
Step 3: Determine where the derivative is positive:
Set :
Solve for :
Therefore, the function is increasing on the interval .
Thus, the correct answer is .
Note that the graph of the function shown below does not intersect the x-axis
The parabola's vertex is A
Identify the interval where the function is decreasing:
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