# How do you graph y=(1/5)^x?

Nov 8, 2017

See below.

#### Explanation:

The curve intercepts the y axis when $x = 0$

$\therefore$

$y = {\left(\frac{1}{5}\right)}^{0} = 1$ coordinates $\left(0 , 1\right)$

as $x \to \infty$ ${\left(\frac{1}{5}\right)}^{x} \to 0$

So the x axis is a horizontal asymptote.

For negative $x$ , ${\left(\frac{1}{5}\right)}^{x}$ becomes:

$\frac{1}{\frac{1}{5}} ^ x$

as $x \to - \infty$ , $\frac{1}{\frac{1}{5}} ^ x \to \infty$

Graph: