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Solved: Determine whether each of these functions is a

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 23E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 23E

Determine whether each of these functions is a bijection from \(\mathbf{R}\) to \(\mathbf{R}\).

a) \(f(x)=2 x+1\)

b) \(f(x)=x^{2}+1\)

c) \(f(x)=x^{3}\)

d) \(f(x)=\left(x^{2}+1\right) /\left(x^{2}+2\right)\)

Equation Transcription:





Text Transcription:

R  

f(x)=2x+1  

f(x)=x^2+1  

f(x)=x^3  

f(x)=(x^2+1/(x^2+2)

Step-by-Step Solution:

Solution:

Step 1 :

We have to check weather the following function are bijection from .

given functions are

(a)

Ans :

First check the given function is one-one

Such that

.’. The given function is one-one.

next we to check the onto

In the given function the range is real numbers

.’. The function is onto

Hence the function is bijective.

Step 2 of 4

Chapter 2.3, Problem 23E is Solved
Step 3 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The full step-by-step solution to problem: 23E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “?Determine whether each of these functions is a bijection from \(\mathbf{R}\) to \(\mathbf{R}\).a) \(f(x)=2 x+1\)b) \(f(x)=x^{2}+1\)c) \(f(x)=x^{3}\)d) \(f(x)=\left(x^{2}+1\right) /\left(x^{2}+2\right)\)Equation Transcription:Text Transcription:R f(x)=2x+1 f(x)=x^2+1 f(x)=x^3 f(x)=(x^2+1/(x^2+2)” is broken down into a number of easy to follow steps, and 25 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 23E from 2.3 chapter was answered, more than 400 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: bijection, determine, functions, these, whether. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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Solved: Determine whether each of these functions is a