## anonymous one year ago What is the range of the function y = x 2 ? 1) all real numbers 2) x ≥ 0 3) y ≥ 0

1. SolomonZelman

$$x^2$$ is not going to be negative. The least $$x^2$$ can be equivalent to is 0 (when x=0).

2. SolomonZelman

And as $$x$$ tends $${\rm infinity}$$, $$x^2$$ all the more so tends to $${\rm infinity}$$.

3. SolomonZelman

So it is going to start from 0, and go into infinity. So your answer is?

4. anonymous

ummmmmmmmmmmmmmmmmmmmmmmmmm

5. anonymous

what does "all real numbers" mean?

6. SolomonZelman

All real numbers are fractions, square roots, integers, ((and basically all numerical quantities which are not undefined and that don't contain $$i$$ (imaginary number that you might not have studied)))

7. anonymous

ok thank you

8. anonymous

i have another question

9. anonymous

nvm

10. anonymous

so the answer is $x \ge 0$

11. anonymous

?

12. anonymous

no

13. anonymous

the range is not the x's it is the y's