Question

Find the domain and range.
y=2/3sqrtx

Answer 1

\[y=\frac{2}{3\sqrt{x}}\]
is this how it is written?

Answer 2

Domain is all the xs you could put in the equation and range is all of the possible ys.

Answer 3

the domain is not all reals

Answer 4

the denominator can't equal zero because dividing by 0 is undefined, and also taking the square root of a negative number results in a nonreal answer. So your domain is
{x|x>0}

Answer 5

as for the range, 0 is not in the range because there is a horiztonal asymptote at the x-axis or y=0

Answer 6

also the output will never be negative because the sqrt(x) is positive for all real numbers in the domain

Answer 7

so the range is (0, infinity)