# How do you graph the function y=5(2)^x?

Sep 11, 2017

See below.

#### Explanation:

To find significant points notice that when $x = 0$ we have $5 {\left(2\right)}^{0} \implies 5 \left(1\right) = 5$

So y axis intercept is at $\left(0 , 5\right)$:

If $x < 0$ we have $\frac{5}{2} ^ x$, as $x \to \infty$ , $\frac{5}{2} ^ x \to 0$

So the $x$ axis is a horizontal asymptote.

if $x > 0$

$5 {\left(2\right)}^{x} \to \infty$, as $x \to \infty$

See graph:

graph{5(2)^x [-10, 10, -5, 50]}