3 Find the open intervals where the function f(x) = -2x³ + 6x² +171x-2 is concave upward or concave Find any inflection points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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Find the open intervals where the function f(x) = -2x³ +6x² +171x-2 is concave upward or concave downward.
Find any inflection points.
***
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function has a point of inflection at
(Type an ordered pair using integers or fractions. Simplify your answer. Use a comma to separate answers
as needed.)
OB. The function does not have an inflection point.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function is concave upward on the interval(s)
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify
your answer. Use a comma to separate answers as needed.)
OB. The function is never concave upward.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function is concave downward on the interval(s)
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify
your answer. Use a comma to separate answers as needed.)
OB. The function is never concave downward.
og
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Transcribed Image Text:Find the open intervals where the function f(x) = -2x³ +6x² +171x-2 is concave upward or concave downward. Find any inflection points. *** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function has a point of inflection at (Type an ordered pair using integers or fractions. Simplify your answer. Use a comma to separate answers as needed.) OB. The function does not have an inflection point. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is concave upward on the interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer. Use a comma to separate answers as needed.) OB. The function is never concave upward. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is concave downward on the interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer. Use a comma to separate answers as needed.) OB. The function is never concave downward. og ere rofi (3) R a subje steps
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