Math  /  Calculus

QuestionConsider the function in the graph to the right. The function has a relative maximum of \qquad at x=x= \square The function has a relative minimum of \square at x=x= \square The function is increasing on the interval(s): \square The function is decreasing on the interval(s): \square The domain of the function is: \square
The range of the function is: \square For increasing and decreasing, separate multiple intervals with commas.

Studdy Solution
Define the range of the function. Based on the y-axis range and the relative maximum and minimum points, the range is [3,7] [-3, 7] .
The function has a relative maximum of 7 7 at x=0 x = 0 .
The function has a relative minimum of 3 -3 at x=7 x = -7 .
The function is increasing on the interval(s): (7,0) (-7, 0) .
The function is decreasing on the interval(s): (10,7),(0,10) (-10, -7), (0, 10) .
The domain of the function is: [10,10] [-10, 10] .
The range of the function is: [3,7] [-3, 7] .

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