f:N->N is given by f(x)=x^2, where N is

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

f:N->N is given by f(x)=x^2, where N is the set of natural numbers. then f is

Options:

Injective

Surjective

Bijective

None of the above

Correct Answer:

Injective

Explanation:

If f(x)=f(y) then x^2=y^2. Since x cannot be -y we must have x=y