4. This problem is about some function. All we know about the function is that it...

4. This problem is about some function. All we know about the function is that it exists everywhere and we also know the information given below about the derivative of the function. Answer each of the following questions about this function. Be sure to justify your answers. f ′(−5) = 0 f ′(−2) = 0 f ′(4) = 0 f ′(8) = 0 f ′(x) < 0 on (−5,−2), (−2,4), (8,∞) f ′(x) > 0 on (−∞,−5), (4,8)

a. Identify the critical points of the function.

b. Determine the intervals on which the function increases and decreases.

c. Classify the critical points as relative maximums, relative minimums or neither.

Expert Solution

milcah answered 2 years ago

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