(a) Answer Domain of function is D = 0 , 1 , 2 , 3 , 4 , 5.... Domain is discrete Explanation Given: The linear function m = 55 − 8.5 b represents the amount m of money that you have after buying b books Formula Used: Domain of a function is the set of all possible input values. They are of two types: A discrete domain is a set of input values that consists of only certain numbers in an interval. Graph of discrete domain are scattered points A continuous domain is a set of input values that consists of all numbers in an interval. Graph of continuous domain has lines or curves Calculation: Given that linear function m = 55 − 8.5 b represents the amount m of money that you have after buying b books Since number of books is whole number, thus domain for the function is D = 0 , 1 , 2 , 3 , 4 , 5.... Domain is discrete domain Conclusion: Hence, D = 0 , 1 , 2 , 3 , 4 , 5.... and its discrete. (b) To determine To calculate: To graph the function Explanation Given: The linear function m = 55 − 8.5 b represents the amount m of money that you have after buying b books Formula Used: Domain of a function is the set of all possible input values. They are of two types: A discrete domain is a set of input values that consists of only certain numbers in an interval. Graph of discrete domain are scattered points A continuous domain is a set of input values that consists of all numbers in an interval. Graph of continuous domain has lines or curves Calculation: Given that linear function m = 55 − 8.5 b represents the amount m of money that you have after buying b books Since number of books is whole number, thus domain for the function is D = 0 , 1 , 2 , 3 , 4 , 5.... Domain is discrete domain When b = 0 , m = 55 When b = 1 , m = 55 − 8.5 = 46.5 When b = 2 , m = 55 − 17 = 38 When b = 3 , m = 55 − 25.5 = 29.5 Plotting the graph: Conclusion: Hence, graph is plotted

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.2, Problem 35E

(a)

To determine

To calculate: To find the domain of the function and find whether domain is discrete or continuous

(a)

Expert Solution

Answer to Problem 35E

Domain of function is D=0,1,2,3,4,5....

Domain is discrete

Explanation of Solution

Given: The linear function m=55−8.5b represents the amount m of money that you have after buying b books

Formula Used:

Domain of a function is the set of all possible input values. They are of two types:

A discrete domain is a set of input values that consists of only certain numbers in an interval. Graph of discrete domain are scattered points

A continuous domain is a set of input values that consists of all numbers in an interval. Graph of continuous domain has lines or curves

Calculation:

Given that linear function m=55−8.5b represents the amount m of money that you have after buying b books

Since number of books is whole number, thus domain for the function is

D=0,1,2,3,4,5....

Domain is discrete domain

Conclusion:

Hence, D=0,1,2,3,4,5.... and its discrete.

(b)

To determine

To calculate: To graph the function

(b)

Expert Solution

Explanation of Solution

Given: The linear function m=55−8.5b represents the amount m of money that you have after buying b books

Formula Used:

Domain of a function is the set of all possible input values. They are of two types:

A discrete domain is a set of input values that consists of only certain numbers in an interval. Graph of discrete domain are scattered points

A continuous domain is a set of input values that consists of all numbers in an interval. Graph of continuous domain has lines or curves

Calculation:

Given that linear function m=55−8.5b represents the amount m of money that you have after buying b books

Since number of books is whole number, thus domain for the function is

D=0,1,2,3,4,5....

Domain is discrete domain

When b=0 , m=55

When b=1 , m=55−8.5=46.5

When b=2 , m=55−17=38

When b=3 , m=55−25.5=29.5

Plotting the graph:

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.2, Problem 35E

Conclusion:

Hence, graph is plotted

Chapter 3.2, Problem 34E

Chapter 3.2, Problem 36E

Chapter 3 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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