1
Section 8.2
More exponential functions
Objectives
circle6
Graph translations of exponential functions
circle6
Write a radioactive decay function
circle6
Understand the number “e” and understand
how to apply it to interest problems
Review – Graph
circle6
Now graph
( )
x
y
2
2
1
=
( )
x
y
2
2
1

=
To graph more complicated
exponential functions, we can use
a parent function
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Use a parent function to graph the given
function. Label the horizontal asymptote.
3
2
1
8
2
+
=
+
x
y
RADIOACTIVE DECAY
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The half life of a radioactive substance is the time it
takes for half of the material to decay.
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Hospitals use different kinds of radioactive elements for
imaging; one of these is technetium99m, whose halflife
is 6 hours. Let’s make a table showing the amount of a
100
mg
sample remaining at the end of each 6 hour
interval for 36 hours.
Writing a Model for radioactive
decay
circle6
Let’s write an exponential function to find the
amount of technetium99
m
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 Fall '09
 Johnson
 Algebra, Exponential Function, Exponential Functions, Radioactive Decay, Leonhard Euler, Exponentials

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