[tex]\bf \begin{array}{cllll}
x&y\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
-7&5^{-7}\to \frac{1}{5^7}\to \frac{1}{78125}\\\\
-3&5^{-3}\to \frac{1}{5^3}\to \frac{1}{125}\\\\
0&5^0\to 1\\\\
3&5^3\to 125\\\\
7&5^7\to 78125
\end{array}[/tex]
so... you can keep on going towards the negatives with "x", or towards the positives with "x", notice, if the "x" is negative, "y" is just a fraction, positive, but a fraction
and if "x" is positive, "y" is a positive integer
even when x =0, "y" never became 0, and is never negative either
so, the range is, "y" is always positive, but not 0, or y>0
