Graphing Exponential Functions
In this lesson, we shall study graphs of exponential functions.
The general form of an exponential function is y = a n, where a is a positive number.
Example:
Draw the graph of y = 3x 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 = 3x
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 Exponential Functions
Professor Edward Burger teaches how to graph exponential functions.
Professor Edward Burger explains more examples of graphing exponential functions
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