# Graphs of Exponential Functions

Graphs of Exponential Functions

A general exponential function has the form , where and are positive real numbers. The number is called the exponential base and the number is called the multiplicative constant.

f(x)=C

x

a

C

a

a

C

If the base , then the function is one of exponential growth and the function is always increasing. If the base , then the function is one of exponential decay and is therefore always decreasing.

a>1

a<1