f" (x)= x(x-1)²(x + 2)³ g" (x) = x(x - 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The twice-differentiable functions f, g, and h have second derivatives given above. Which of the functions f, g, and h have a graph with exactly two points of inflection? A B C D gonly honly fand g only f, g, and h

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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ƒ" (x) = x(x − 1)²(x + 2)³
g" (x) = x(x − 1)²(x + 2)³ + 1
h" (x) = x(x − 1)²(x + 2)³ - 1
The twice-differentiable functions f, g, and h have second derivatives given above. Which of the functions f, g, and h have a graph with exactly two points of inflection?
A
B
D
g only
honly
fand g only
f, g, and h
12
Transcribed Image Text:ƒ" (x) = x(x − 1)²(x + 2)³ g" (x) = x(x − 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The twice-differentiable functions f, g, and h have second derivatives given above. Which of the functions f, g, and h have a graph with exactly two points of inflection? A B D g only honly fand g only f, g, and h 12
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