Graphing Exponential Growth and Decay

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Graphing Exponential Growth and Decay
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An exponential function has the form
b is a positive number other than 1.
(fraction)
If b is greater than 1
If b is between 0 and 1
b is the decay factor
b is the growth factor
Is called an exponential decay function.
Is called an exponential growth function.
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Growth or decay??
decay
growth
a _______ b _______
a _______ b _______
growth
decay
a _______ b _______
a _______ b _______
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4 Shapes of Exponential Graphs
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x
Graph y b for b gt 1
0
1.
Draw the asymptote
Make a table of values.
2.
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EXAMPLE 2
Just use 2 values in your table!
Graph the function.
x 0 1
y ½ 2
1.
Draw the asymptote
2.
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EXAMPLE 3
Just use 2 values in your table!
Graph the function.
x 0 1
y -1 -5/2
Draw the asymptote
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EXAMPLE 4
Just use 2 values in your table!
Graph the function.
x 0 1
y 3 3/2
1
Draw the asymptote
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EXAMPLE 5
Just use 2 values in your table!
x 0 1
y -5 -3.2
-2
Draw the asymptote
Plot (0, 5) and Draw a curve that
begins just below the x-axis, and moves down to
the left.