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Suppose that the graph below is the graph of \( f^{\prime}(x) \), the derivative of Select the correct choice below and fill in any answer boxes \( f(x) \). Find the open intervals where the original function is concave within your choice. upward or concave downward. Find any inflection points. \( f^{\prime}(x)=\frac{x^{4}}{3}-x^{3}-8 x^{2} \) A. The original function has inflection point(s) at \( \mathrm{x}= \) (Use a comma to separate answers as needed. Round to one decimal place as needed.) B. The original function does not have an inflection point. Select the correct choice below and fill in any answer boxes within your choice. A. The original function is concave upward on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed. Round to one decimal place as needed.) B. The original function is never concave upward. Select the correct choice below and fiil in any answer boxes within your choice. A. The original function is concave downward on the interval(s) Type your answer in interval notation. Use a comma to separate answers as needed. Round to one decimal place as needed.) B. The original function is never concave downward.

1. from the graph of derivative function we can see that , at x = -2 and 4 the graph of the derivative changes its slope . so

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