How do you find the vertical, horizontal or slant asymptotes for #g(x)=5^x#?

1 Answer
Apr 2, 2016

Answer:

The asymptote is the horizontal x-axis y = g(x) =0, in the negative x-direction.

Explanation:

y = g(x) = #5^x>0#.

The graph is exponential.

As # xto-oo, y to 0.#
As #xto oo, yto oo.#.
The x-axis in the negative direction is asymptotic to the curve.

The graph meets y-axis at (0, 1).