JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

Let

X\;and\,Y

be subsets of R, the set of all real numbers. The function

f:X \to Y

defined by

f\left( x \right) = {x^2}\;for\,x \in X

is one-one but not onto, if (Here,

{R^ + }

is the set of all positive real numbers)

View answer and explanation

Correct option: C

X = {R^ + },Y = R

Option C (

X = {R^ + },Y = R

) is correct because it defines a function that is one-to-one but not onto.

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