BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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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 BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 1

The local minimum is at about BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 2

The real zeros are 2.5.

Explanation of Solution

Given information:

Given graph,

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 3

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 BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 4

The BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 5 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 BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 6

The BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 7 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 BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 8

From the graph it is very clear that, it crosses BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 4.8, Problem 32E , additional homework tip 9 axis at about

Therefore, the real zeros are 2.5.

Chapter 4.8, Problem 31E

Chapter 4.8, Problem 33E

Chapter 4 Solutions

BIG IDEAS MATH Algebra 2: Common Core 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

Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.2 - Prob. 1E Ch. 4.2 - Prob. 2E Ch. 4.2 - Prob. 3E Ch. 4.2 - Prob. 4E Ch. 4.2 - 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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