# Answer on Real Analysis Question for jenny

Question #2169

The function f : R to R+ U {0} , f(x) : x^2 is one-one

but not onto.

State true or false, why?

but not onto.

State true or false, why?

Expert's answer

R to R

_{+}: x^{2}- it's the part of parabola for positive x, it's one-to-one, since if f(x_{1}) = f(x_{2}), x_{1}=x_{2}and x^{2}is onto (surjective): for all x>=0 there is such y, that y = f(x).Need a fast expert's response?

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