Concavity and points of inflection. Answer the following questions using the function f(x) The second derivative of the given function is f"(x) == +27x² + 60x + 18 f has points of inflection that occur at x = NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed). f is concave down on and concave up on

Calculus: Early Transcendentals
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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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Concavity and points of inflection.
Answer the following questions using the function f(x):
The second derivative of the given function is f"(x)
f has points of inflection that occur at x
=
and concave up on
-x³ + 27x² + 60x+18
NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed).
f is concave down on
NOTE: State the open intervals of concavity as a comma separated list (if needed).
Note: You can earn partial credit on this problem.
Transcribed Image Text:Concavity and points of inflection. Answer the following questions using the function f(x): The second derivative of the given function is f"(x) f has points of inflection that occur at x = and concave up on -x³ + 27x² + 60x+18 NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed). f is concave down on NOTE: State the open intervals of concavity as a comma separated list (if needed). Note: You can earn partial credit on this problem.
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