MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 133

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Which one of the following is a bijective function on the set of real numbers?

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Important Questions on Sets, Relations and Functions

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 134

Let

f : R \to R

be defined by

f (x) = x^{4}

, then

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 135

Let the function

f : R \to R

be defined by

f (x) = 2 x + \sin x, x \in R

. Then

f

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 136

Let

f : N \to N

defined by

f (x) = x^{2} + x + 1, x \in N

, then

f

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 137

The function

f : R \to R

defined by

f (x) = (x - 1) (x - 2) (x - 3)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 138

A function

f

from the set of natural numbers to integers defined by

f (n) = \{\begin{cases} \frac{n - 1}{2}, when n is odd \\ - \frac{n}{2}, when n is even \end{cases}

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 139

Let

f : N \to N

defined by

f (n) = \{\begin{cases} \frac{n + 1}{2} if n is odd \\ \frac{n}{2} if n is even \end{cases}

, then

f

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 140

Let

N

be the set of all natural numbers,

Z

be the set of all integers and

σ : N \to Z

is defined by

σ (n) = \{\frac{n}{2}, if n is even - \frac{n - 1}{2}, if n is odd \begin{array}{l}  \end{array}

, then

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 141

The function

f : R \to R

is defined by

f (x) = e^{x}

is