Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 4.8, Problem 32E

To determine

To estimate: the coordinates of given turning point, to state whether h=given corresponds to a local maximum or a local minimum, and to estimate the real zeros and to find the least possible degree of the function.

Expert Solution & Answer

Answer to Problem 32E

Least degree of the function is 3.

The local maximum is at about (−3.5,−0.75) .

The local minimum is at about (−0.5,−6.5) .

The real zeros are 2.5.

Explanation of Solution

Given information:

Given graph,

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 32E

Calculation:

From the graph it is very clear that it has two turning points.

Because it has two points, so least degree of the function is 2+1=3 .

The y coordinate of a turning is a local maximum of the function when the point is higher than all nearby points.

From the graph it is very clear that, the local maximum is at about (−3.5,−0.75) .

The y coordinate of a turning is a local minimum of the function when the point is higher than all nearby points.

From the graph it is very clear that, the local minimum is at about (−0.5,−6.5) .

From the graph it is very clear that, it crosses x axis at about x=2.5 .

Therefore, the real zeros are 2.5.

Chapter 4.8, Problem 31E

Chapter 4.8, Problem 33E

Chapter 4 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY

To estimate: the coordinates of given turning point, to state whether h=given corresponds to a local maximum or a local minimum , and to estimate the real zeros and to find the least possible degree of the function.

Concept explainers

Videos

To estimate: the coordinates of given turning point, to state whether h=given corresponds to a local maximum or a local minimum, and to estimate the real zeros and to find the least possible degree of the function.

Answer to Problem 32E

Explanation of Solution

Chapter 4 Solutions