Suppose that the graph below is the graph of f\'(x), the derivative of a functio

Question

Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open intervals where f(x) is a) increasing, or b) decreasing. List any interval(s) on which the function is increasing. Select the correct choice below and fill in any answer boxes within your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never increasing. List any interval(s) on which the function is decreasing. Select the correct choice below and fill in any answer boxes within your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never decreasing.

Explanation / Answer

a) f(x) is decreasing in intervals (-3,-1) and (1,3)

b) f(x) is increasing in intervals (-infinity, -3) , (-1,1) and (3, +infinity)

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