Graphs of Exponential Functions

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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.
Contributed by: Laura R. Lynch (June 2014)
Open content licensed under CC BY-NC-SA
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Details
There are two special points to keep in mind to help sketch the graph of an exponential function: At , the
value is
and at
, the
value is
.
Here are three other properties of an exponential function:
• The intercept is always at
.
• There are no intercepts. In fact, the exponential function has horizontal asymptote at
• The graph is always above the axis.
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