Find the open intervals where the function f(x) = − 2x³ + 6x² +172x-3 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. O A. 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 need OB. The function is never concave upward. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 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 need OB. The function is never concave downward.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the open intervals where the function f(x) = -2x³ + 6x² + 172x-3 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.
O A. 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.
O A. 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 need
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 need
OB. The function is never concave downward.
MacBook Pro
Transcribed Image Text:Find the open intervals where the function f(x) = -2x³ + 6x² + 172x-3 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. O A. 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. O A. 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 need 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 need OB. The function is never concave downward. MacBook Pro
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