Math  /  Calculus

QuestionUse the graph to answer the following questions. (a) Over which intervals is the function decreasing? Choose all that apply. (,4)(-\infty,-4) \square (4,2)(-4,-2) \square (2,2)(-2,2) \square (4,2)(-4,2) \square (2,6)(2,6) \square (8,)(8, \infty) (b) At which xx-values does the function have local maxima? If there is more than one value, separate them with commas. \square

Studdy Solution
Examine the graph to determine where the function has local maxima. A local maximum occurs at a point if the function changes from increasing to decreasing at that point.
The function has local maxima at x=2x = -2 and x=2x = 2.
The answers are: (a) The function is decreasing over the intervals: (4,2)(-4, -2) and (2,6)(2, 6). (b) The function has local maxima at xx-values: 2,2-2, 2.

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