Schwartz Dickson
03/11/2024 · Elementary School

\( f(x)=-3 x^{3}+3 x^{2}+168 x-6 \) Where is the function concave upward and where is it concave downward? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice, A. The function is concave upward on the interval(s) \( \square \) and concave downward on the interval(s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) B. The function is concave upward on the interval(s) \( \square \). The function is never concave downward. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) C. The function is concave downward on the interval(s) \( \square \). The function is never concave upward. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) D. The function is never concave upward or downward.

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A. The function is concave upward on the interval(s) \( (-\infty, \frac{1}{3}) \) and concave downward on the interval(s) \( (\frac{1}{3}, \infty) \).

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