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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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 3.2, Problem 36E

(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 36E

Domain of function is D=x≥0

Domain is continuous

Explanation of Solution

Given: The number y of calories burned after x hours of rock climbing is represented by the linear function y=650x

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 number y of calories burned after x hours of rock climbing is represented by the linear function y=650x

Since number of hourscan be represented in decimal, thus domain for the function is

D=x≥0

Domain is continuous domain

Conclusion:

Hence, D=x≥0 and itscontinuous.

(b)

To determine

To calculate: To graph the function

(b)

Expert Solution

Explanation of Solution

Given: The number y of calories burned after x hours of rock climbing is represented by the linear function y=650x

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 number y of calories burned after x hours of rock climbing is represented by the linear function y=650x

Since number of hours can be represented in decimal, thus domain for the function is

D=x≥0

Domain is continuous domain

When x=0 , y=0

When x=1 , y=650

When x=2 , y=1300

Plotting the graph:

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.2, Problem 36E

Conclusion:

Hence, graph is plotted

Chapter 3.2, Problem 35E

Chapter 3.2, Problem 37E

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

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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