# How do you graph of y=-(1/5)^x and state the domain and range?

Feb 4, 2017

Domain $\left(- \infty , \infty\right)$. Range : $\left(- \infty , 0\right)$. See graph and explanation.

#### Explanation:

$y = - {\left(\frac{1}{5}\right)}^{x} < 0 \mathmr{and} \to 0$, as $x \to \infty$.

y-intercept ( x = 0 ) : $- 1$

As $x \to - \infty , y \to - \infty$.

So, domain is $\left(- \infty , \infty\right)$ and range is $\left(- \infty , 0\right)$

graph{-(.2)^x [-2.5, 2.5, -1.25, 1.25]}