a) Answer Yes, the given situation represents a linear function. Explanation Given information : The data given below. t ( sec ) d ( m i l e s ) 2 0.434 4 0.868 6 1.302 8 1.736 10 2.170 Calculation: Since the distance travelled by wave in 2 sec is 0.434 m i l e s and the distance travelled in the given intervals remain the same. Hence, the function will be linear function. b) To determine To find: The domain and the nature of domain (continuous or discrete). Answer The domain of the given function is ( t ≥ 0 ) and its nature is continuous. Explanation Given information : t ( sec ) d ( m i l e s ) 2 0.434 4 0.868 6 1.302 8 1.736 10 2.170 Calculation: Since the sound cannot travel for a negative amount of time. And also it can’t stop traveling. Hence, the domain is continuous. Hence, the domain is ( t ≥ 0 ) . c) To determine To graph: The function using its domain. Explanation Given information : The domain of the function ( t ≥ 0 ) , t ( sec ) d ( m i l e s ) 2 0.434 4 0.868 6 1.302 8 1.736 10 2.170 Graph: The representation of function and its domain ( t ≥ 0 ) . t ( sec ) d ( m i l e s ) 2 0.434 4 0.868 6 1.302 8 1.736 10 2.170

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 37E

To determine

To find: The given situation represent a linear function.

Expert Solution

Answer to Problem 37E

Yes, the given situation represents a linear function.

Explanation of Solution

Given information: The data given below.

t(sec)d(miles)20.43440.86861.30281.736102.170

Calculation: Since the distance travelled by wave in 2 sec is 0.434 miles and the distance travelled in the given intervals remain the same. Hence, the function will be linear function.

To determine

To find: The domain and the nature of domain (continuous or discrete).

Expert Solution

Answer to Problem 37E

The domain of the given function is (t≥0) and its nature is continuous.

Explanation of Solution

Given information:

t(sec)d(miles)20.43440.86861.30281.736102.170

Calculation: Since the sound cannot travel for a negative amount of time. And also it can’t stop traveling. Hence, the domain is continuous.

Hence, the domain is (t≥0) .

To determine

To graph: The function using its domain.

Expert Solution

Explanation of Solution

Given information: The domain of the function (t≥0) ,

t(sec)d(miles)20.43440.86861.30281.736102.170

Graph: The representation of function and its domain (t≥0) .

t(sec)d(miles)20.43440.86861.30281.736102.170

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.2, Problem 37E

Chapter 3.2, Problem 36E

Chapter 3.2, Problem 38E

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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