The function $ f: R \rightarrow R, f(x)=x^{2}, \forall x \in R $ is

Injection as well as surjection

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

The function

f: R \rightarrow R, f(x)=x^{2}, \forall x \in R

View answer and explanation

Correct option: D

Neither injection nor surjection

Option D (Neither injection nor surjection) is correct because the function

f(x) = x^2

is neither one-to-one (injective) nor onto (surjective) when mapping from R to R.

Practice All Chapter MCQs →

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