Question

How to find asymptotes of an exponential function?

A) Asymptotes occur at points where the function is undefined.
B) Exponential functions do not have asymptotes.
C) Asymptotes for exponential functions are horizontal lines.
D) Asymptotes are vertical lines for exponential functions.

Answer 1

To find asymptotes of an exponential function, we need to consider the behavior of the function as x approaches positive or negative infinity. Exponential functions have horizontal asymptotes. If the base of the exponential function is greater than 1, then there is a horizontal asymptote at y = 0. If the base is between 0 and 1, then there is a horizontal asymptote at y = 0. If the base is less than -1, then there are no horizontal asymptotes.

Step-by-step explanation:

To find asymptotes of an exponential function, we need to consider the behavior of the function as x approaches positive or negative infinity. Exponential functions have horizontal asymptotes. If the base of the exponential function is greater than 1, then there is a horizontal asymptote at y = 0. If the base is between 0 and 1, then there is a horizontal asymptote at y = 0. If the base is less than -1, then there are no horizontal asymptotes.