Let f(x) = x³ - 3x². Suppose n is the number of critical numbers of g(x). Let X1, X2, ..., Xn be the critical numbers of g(x) in order, i.e., X1 < x2 <... < xn. For example, if a function has critical numbers -1,2,4, then n = 3, x₁ = -1, x2 = 2, x3 = 4. If a function has only one critical number 3, then n = 1, x₁ = 3, x2 = Does not exist, x3 = Does not exist. What is n? Choose

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 15BEXP
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Let f(x) = x³
3x².
Suppose n is the number of critical numbers of g(x).
Let X1, X2, ..., xn be the critical numbers of g(x) in order, i.e.,
X1 < x2 <... < xn.
For example, if a function has critical numbers -1,2,4, then
n = 3, x₁ = -1, x2 = 2, x3 = 4. If a function has only one critical number 3,
then n = 1, x₁
3,x2
= Does not exist, x3 = Does not exist.
What is n?
What is x₁?
What is x₂?
What is x3?
=
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Transcribed Image Text:Let f(x) = x³ 3x². Suppose n is the number of critical numbers of g(x). Let X1, X2, ..., xn be the critical numbers of g(x) in order, i.e., X1 < x2 <... < xn. For example, if a function has critical numbers -1,2,4, then n = 3, x₁ = -1, x2 = 2, x3 = 4. If a function has only one critical number 3, then n = 1, x₁ 3,x2 = Does not exist, x3 = Does not exist. What is n? What is x₁? What is x₂? What is x3? = Choose... Choose... Choose... Choose... ( ◆
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