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 25E

(a)

To determine

To calculate: To find which equationsdo not represent linear function

(a)

Expert Solution

Answer to Problem 25E

Equation do not represent linear function

Explanation of Solution

Given: Equation is 12=2x2+4y2

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

12=2x2+4y2

Here, degree of function is 2

Since degree is more than 1 , thus equation is non-linear function

Conclusion:

Hence, equation represents non-linear function

(b)

To determine

To calculate: To find which equations do not represent linear function

(b)

Expert Solution

Answer to Problem 25E

Equation represents linear function

Explanation of Solution

Given: Equation is y−x+3=x

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

y−x+3=x

Simplifying the equation:

y−2x+3=0

Here, degree of function is 1

Since degree is equal to 1 , thus equation is linear function

Conclusion:

Hence, equation represents linear function

(c)

To determine

To calculate: To find which equations do not represent linear function

(c)

Expert Solution

Answer to Problem 25E

Equation represents linear function

Explanation of Solution

Given: Equation is x=8

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

x=8

Here, degree of function is 1

Since degree is equal to 1 , thus equation is linear function

Conclusion:

Hence, equation represents linear function

(d)

To determine

To calculate: To find which equations do not represent linear function

(d)

Expert Solution

Answer to Problem 25E

Equation represents linear function

Explanation of Solution

Given: Equation is x=9−34y

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

x=9−34y

Here, degree of function is 1

Since degree is equal to 1 , thus equation is linear function

Conclusion:

Hence, equation represents linear function

(e)

To determine

To calculate: To find which equations do not represent linear function

(e)

Expert Solution

Answer to Problem 25E

Equation represents linear function

Explanation of Solution

Given: Equation is y=5x11

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

y=5x11

Here, degree of function is 1

Since degree is equal to 1 , thus equation is linear function

Conclusion:

Hence, equation represents linear function

(f)

To determine

To calculate: To find which equations do not represent linear function

(f)

Expert Solution

Answer to Problem 25E

Equation represents non-linear function

Explanation of Solution

Given: Equation is y=x+3

Formula Used:

Linear functions are polynomials with degree of 1 and have constant slopes. Graph of linear function is a straight line

Non-linear functions are polynomials with degree of more than 1 and have a slope that varies between points. Graph of non-linear function is a curved line

Calculation:

Equation is given as

y=x+3

Here, graph

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.2, Problem 25E

Since graph of function is not straight line, thus equation is non-linear function

Conclusion:

Hence, equation represents non-linear function

Chapter 3.2, Problem 24E

Chapter 3.2, Problem 26E

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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Prob. 21CR Ch. 3 - Prob. 22CR Ch. 3 - Prob. 23CR Ch. 3 - Prob. 24CR Ch. 3 - Prob. 25CR Ch. 3 - Prob. 26CR Ch. 3 - Prob. 27CR Ch. 3 - Prob. 28CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CA Ch. 3 - Prob. 2CA Ch. 3 - Prob. 3CA Ch. 3 - Prob. 4CA Ch. 3 - Prob. 5CA Ch. 3 - Prob. 6CA Ch. 3 - Prob. 7CA Ch. 3 - Prob. 8CA Ch. 3 - Prob. 9CA Ch. 3 - Prob. 10CA

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