Certain functions, such as exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c.
Where do exponential functions have Asymptotes?
The general form of an exponential function is f (x) = cƒax-h + k, where a is a positive constant and a≠1. a is called the base. The graph has a horizontal asymptote of y = k and passes through the point (h, c + k).
Does exponential function have vertical asymptotes?
Hence, therefore there is no vertical asymptote of exponential function (as there is no value of x for which it would not exist). Therefore, the answer is no vertical asymptote exists for exponential function.
