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JEE MATHEMATICS MCQ: FUNCTIONS

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Assertion: The function f:R→Rf: R \rightarrow R given by f(x)=x3f(x)=x^3 is injective.

Reason: The function f:X→Yf: X \rightarrow Y is injective, if f(x)=f(y)f(x)=f(y) ⇒x=y\Rightarrow {x}={y} for all x,y∈X{x},{y} \in {X}.
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Correct option: A
Assertion is correct, reason is correct; reason is a correct
explanation for assertion
Option A is correct because the assertion is true, the reason is true, and the reason correctly explains why the function f(x) = x3 is injective.

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