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Graphing Exponential Functions

In this lesson, we shall study graphs of exponential functions.

The general form of an exponential function is y = aⁿ, where a is a positive number.

Example:

Draw the graph of y = 3^x for –1 ≤ x ≤ 2.

Solution:

x	–1	–0.5	0	0.5	1	1.5	2
y	0.33	0.58	1	1.73	3	5.2	9

y = 3^x

From the graph above, we notice the following properties of the exponential curve:

a) As the value of x increases, the value of y increases far more than the increase of value of x.

b) All the values of y are positive.

c) The curve never crosses the x-axis.

Videos

Graphing an Exponential Function .

Graph exponential functions

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