Give the domain and range of the function:
n(x)= -6√x

Question

Give the domain and range of the function: 
n(x)= -6√x

anonymous · Answer

Think of what values x cannot be, for what values would the function be unreal or undefined?

anonymous · Answer

If x is negative, I think... So would the domain be from 0 to positive infinity?

anonymous · Answer

Yes! And now the range is all of the possible output values of the function, so think what's the lowest possible answer, and what's the highest possible answer?

anonymous · Answer

Well if it was 0, then the y output would be 0 when multiplied with -6...if it was 1 then it'd be -6...and so on...I think?? So would the range be 0 to positive infinity as well? Or maybe from -6 to positive infinity? I think it's one of those but I'm not sure which!

anonymous · Answer

$-6$ is negative and $\sqrt{x}$ is positive (unless it is zero) so the product will be negative (unless it is zero)

anonymous · Answer

so the range, as you said above, is $(-\infty,0]$

anonymous · Answer

but it is not clear why you said that it would be negative, and then said the range is from zero to positive infinity. you said negative numbers, not positive ones

anonymous · Answer

I understand where I went wrong! I was just all mixed up. Thanks so much!