Determine where the local and absolute maxima and minima occur on the graph. Assume the domain is a closed interval. x-value -3 -2 -1 0 1 3 y 0.5+ ਦੀ 0 1 2 3 × -0.5+ -1- -Select--- -Select--- -Select--- |---Select--- -Select--- -Select--- |---Select--- -1.5+ -2- Extrema

Determine where the local and absolute maxima and minima occur on the graph. Assume the domain is a closed interval. x-value -3 -2 -1 0 1 3 y 0.5+ ਦੀ 0 1 2 3 × -0.5+ -1- -Select--- -Select--- -Select--- |---Select--- -Select--- -Select--- |---Select--- -1.5+ -2- Extrema

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 30CR

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Question

answer options:

local minimum

local maximum

absolute mininum

absolute maximum

both local and absolute minimum

both local and absolute maximum

none

Determine where the local and absolute maxima and minima occur on the graph. Assume the domain is a closed interval.
x-value
-3
-2
-1
0
1
3
y
0.5+
ਦੀ
0 1 2 3 ×
-0.5+
-1-
-Select---
-Select---
-Select---
|---Select---
-Select---
-Select---
|---Select---
-1.5+
-2-
Extrema

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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