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