2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3 -2 -1 1 12 Ox=-2 Ox=1 x = 0 x = -2 and x = 1 3

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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These are 2 sub parts not 2 questions please solve both
2. Below is the graph of f(x). For what value(s) ofx does f(x) have a point of inflection?
MO
A
-4 -3 -2
Ox=-2
Ox=1
Ox=0
x = -2 and x = 1
12 3
Transcribed Image Text:2. Below is the graph of f(x). For what value(s) ofx does f(x) have a point of inflection? MO A -4 -3 -2 Ox=-2 Ox=1 Ox=0 x = -2 and x = 1 12 3
3. Let f(x) = ax³ + bx² + cx+1. Determine the values of a, b, and c so that f(x) has a point of inflection
at x 2, a local minimum at x = -2, and f(1)-2.
36
a.
a=
b==,c=²4 41
41
36
b. a=
b== C=- d=-11
" 41'
41
O
C.
c. a=-17, b=-6, c=36, d=1
41
41
41
Od. None of the above
O
Transcribed Image Text:3. Let f(x) = ax³ + bx² + cx+1. Determine the values of a, b, and c so that f(x) has a point of inflection at x 2, a local minimum at x = -2, and f(1)-2. 36 a. a= b==,c=²4 41 41 36 b. a= b== C=- d=-11 " 41' 41 O C. c. a=-17, b=-6, c=36, d=1 41 41 41 Od. None of the above O
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