Exponential functions

Definition

Exponential functions have the form f(x) = ab^x, where a and b are constants and b is greater than zero but not equal to 1. They grow or decay at a constant rate as x increases or decreases.

Related terms

Growth factor: The value of b in an exponential function that determines how fast the function grows.

Decay factor: The reciprocal of the growth factor, representing how fast an exponential function decays.

Asymptote:

A horizontal line that an exponential function approaches but never touches as x approaches positive or negative infinity.