MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

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Which of the following functions from $Z$ to itself are bijections?

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Important Questions on Function

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

Which of the following functions from

A = {x : - 1 \leq x \leq 1}

to itself are bijections?

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MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

Let

A = {x : - 1 \leq x \leq 1}

and

f : A \to A

such that

f (x) = x | x |

, then

f

is

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

if the function

f : R \to A

given by

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

is a surjection, then

A =

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MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

If a function

f : [2, \infty) \to B

is defined by

f (x) = x^{2} - 4 x + 5

is a bijection, then

B =

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

The function

f : R \to R

defined by

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

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

The function

f : [\frac{- 1}{2}, \frac{1}{2}] \to [\frac{- π}{2}, \frac{π}{2}]

defined by

f (x) = \sin^{- 1} (3 x - 4 x^{3})

is

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

Let

f : R \to R

be a function defined by

f (x) = \frac{e^{| x |} - e^{- x}}{e^{x} + e^{- x}} .

Then

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 2 - Function>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

Let

f : R - {n} \to R

be a function defined by

f (x) = \frac{x - m}{x - n},

where

m \neq n

. Then