Question: Business related 4. (15 pts.) The function f(x) = - -2x3 + 1 has derivatives f'(x) = 2x3 -6x2 and f (x) = 6x2 -

Business related

4. (15 pts.) The function f(x) = - -2x3 + 1 has derivatives f'(x) = 2x3 -6x2 and f "(x) = 6x2 - 12x Graph the function f(x) by doing the following (Write the answers to the questions below on the box provided) a) Determine its domain b) Find the coordinates (both coordinates) of its critical points, the intervals where the function is increasing/decreasing, and classify each critical point as a local max or min d) Determine the y-intercept e) Use this information to sketch the graph of the function. Your graph should clearly show all of the information found above CALCULATOR GRAPHS WILL RECEIVE NO CREDIT

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