(a) Answer The required graph shows a cubic polynomial function. Explanation Given information: The graph representing the function is: Consider the given graph of values as: Focus on the graph that is formed with the points: It is seen that a cubic polynomial is represented by the graph. Hence, the required graph shows a cubic polynomial function. (b) To determine To find : The degree of the polynomial from the graph. Answer The required graph shows a third degree constant feature. Explanation Given information: The graph representing the function is: Consider the given graph of values as: It is seen that a cubic polynomial is represented by the graph. So, the third order finite difference of the function should be constant as the graph represent a third degree polynomial function. Hence, the required graph shows a third degree constant feature.

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 4.9, Problem 18E

(a)

To determine

To find: The type of function that is represented by the data.

(a)

Expert Solution

Answer to Problem 18E

The required graph shows a cubic polynomial function.

Explanation of Solution

Given information:

The graph representing the function is:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.9, Problem 18E , additional homework tip 1

Consider the given graph of values as:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.9, Problem 18E , additional homework tip 2

Focus on the graph that is formed with the points:

It is seen that a cubic polynomial is represented by the graph.

Hence, the required graph shows a cubic polynomial function.

(b)

To determine

To find: The degree of the polynomial from the graph.

(b)

Expert Solution

Answer to Problem 18E

The required graph shows a third degree constant feature.

Explanation of Solution

Given information:

The graph representing the function is:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.9, Problem 18E , additional homework tip 3

Consider the given graph of values as:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.9, Problem 18E , additional homework tip 4

It is seen that a cubic polynomial is represented by the graph.

So, the third order finite difference of the function should be constant as the graph represent a third degree polynomial function.

Hence, the required graph shows a third degree constant feature.

Chapter 4.9, Problem 17E

Chapter 4.9, Problem 19E

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

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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