Determine the intervals on which the function is increasing

Determine the intervals on which the function is increasing, decreasing, and constant. List the interval(s) on which the function is increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Solution

From graph we can figure out that slope of graph is positive in (-8,-6) and (-1,0)

slope of graph is negative for (-6,-4)

slope of graph is 0 for (-4,-1) and (1,8)

so intervals of function increasing are (-8,-6) U(-1,0)

Intervals where function is decreasing is (-6,-4)

Intervals where function is constant are (-4,-1) U (1,8)

Thank you

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