Question

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

Answer 1

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 color(blue)(" has no solution")`

This function is continually increasing and so no asymptote.

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