Question

How do I find vertical asymptotes using an exponential function? (f(x) = ab^(x-h) + k)

I know that horizontal asymptotes are y = k, but I don't know how to find the vertical ones...

Asymptote: A line that a graph of a function approaches without touching.

Answer 1

That kind of exponential function doesn't have any vertical asymptotes. "That kind," meaning of the form you provided:


`f(x)=ab^(x-h)+k`

Having a vertical asymptote (basically) means there is a non-removable discontinuity for some value of x. The given f(x) will be defined for all values of x, so it's continuous and thus has no vertical asymptotes.