Is x implies x^2 an injection function?

To my knowledge:
Injection means injective but not surjective.
Surjection means surjective but not injective.
So this function is not surjective because each element of the codomain is not mapped to at least one element in the domain.
And it's injective because each element in domain is mapped to at most 1 element in codomain.

Is this correct?

Question

Is x implies x^2 an injection function?

To my knowledge:
Injection means injective but not surjective.
Surjection means surjective but not injective.
So this function is not surjective because each element of the codomain is not mapped to at least one element in the domain.
And it's injective because each element in domain is mapped to at most 1 element in codomain.

Is this correct?

anonymous · Answer

Go to the mathematics section.

anonymous · Answer

Ha! My bad, I thought I was in math. Sorry.