Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 33

EASY

CUET (UG)

IMPORTANT

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Which of the following function from $z$ into $z$ is bijection? ( $z$ is set of integers)

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Important Questions on Relations and Functions

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 34

Which of the following function is not onto?

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 35

If

f : R \to [0, \infty)

defined by

f (x) = x^{2}

then

f

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 36

If

f : R \to R

defined by

f (x) = x^{2}

then

f

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 37

Let

A

be a nonempty finite set and

f : A \to A

be injective, then

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 38

For the set of natural numbers

N

, the function

f : N \to N

defined by

f (x) = 2 x

,

\forall x \in ℕ,

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 39

For the set of all real numbers

R

, the function

f : R \to R

defined by

f (x) = x^{2}

,

\forall x \in R,

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 40

Let

A

be a finite set of

n

elements. Then the number of injective functions defined from

A

into

A

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 41

For the set of all real numbers

R

, the function

f : R \to R

defined by

f (x) = x^{2}

,

\forall x \in R,

is