# How do you find the intercepts, asymptotes and graph y=5^x?

Jan 25, 2016

y-intercept = ( 0 , 1 ) This function has no x-intercept
and no asymptotes.

#### Explanation:

To find y-intercept let x = 0 : $y = {5}^{0} = 1$

To find x-intercept let y = 0 : ${5}^{x} = 0 \textcolor{b l u e}{\text{ has no solution}}$

This function is continually increasing and so no asymptote.

graph{5^x [-10, 10, -5, 5]}