is the followng function $f$ surjective?

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$f$ is a function mapping $x$ axis to plane $V$ defined by if $P(x,0)$ then $f(P) = (x,x^2)$ ?

I am not so sure for my following answer :

to show that $f$ is surjective, for every $A(x,x^2)$ there exist $B(x',y')$ element $x$ axis such that $f(B) = A)$.

it is obtained that $x' = x$ and $y'$ equals the square root of $x$.