JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

A mapping from

N

N

is defined as follows:

f: N \rightarrow N, f(n)=(n+5)^2, n \in N

(

N

is the set of natural numbers). Then

View answer and explanation

Correct option: D

f

is one to one but not onto

Option D (

f

is one to one but not onto) is correct because each natural number maps to a unique square, but not all natural numbers are perfect squares.

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}