Use the graph of the function f(x) d splayed below to answer the following quest

Question

Use the graph of the function f(x) d splayed below to answer the following questions Find the critical values where f'(x) DNE (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the critical values where f'(x) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the x-coordinate(s) of the relative minima for f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the x-coordinate(s) of the relative maxima for f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x =

Explanation / Answer

(a) From the graph, we can see that there is a sharp edge in the graph of f(x) at x=4. Therefore, f'(x) DNE at x=4.

(b) From the graph, we can see that we have two stationary points at x = 0 and x = 7. Therefore, at these critical points f'(x) is zero. Hence, answers for this part of the question are x= 0, 7

(c) From the graph, we can see that there is only one point where we have a local minima. It ocurs at x = 0

(d) From the graph, we can see that we have a relative maxima at x = 4

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