This document summarizes key points about analyzing exponential functions: 1) Exponential functions have a characteristic shape where they begin slowly and rise faster as they continue. 2) Exponential functions can be transformed using the same rules as other functions, where stretches, shifts, and reflections can change the function's form. 3) Exponential models can be used to solve real-world problems involving growth or decay over time, though it's important to identify whether solving for x or y in a given problem.

1. 5.2 Notes.notebook December 05, 2012
5.2 Analyzing Exponential Functions
In the last lesson we discovered a new family of functions
called EXPONENTIAL functions. We arrived at the following
conclusion:
These facts
are ALL
important
to know!
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2. 5.2 Notes.notebook December 05, 2012
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3. 5.2 Notes.notebook December 05, 2012
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4. 5.2 Notes.notebook December 05, 2012
Now that we understand the basic shape of an exponential
function we can transform it using the same rules we learned
in earlier units.
The rules of: y=af(b(x­h))+k also apply to:
y=a(c)b(x­h) +k. The same shifts and stretches apply.
Create a chart to find the new points and then sketch.
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5. 5.2 Notes.notebook December 05, 2012
We do this just like before!
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8. 5.2 Notes.notebook December 05, 2012
Looking at exponential models to answer questions.
In questions b) and c) you must decide if you are
solving for X or for Y before you decide how to use
your calculator!
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9. 5.2 Notes.notebook December 05, 2012
Notice how this question is different
in 2 ways:
1) The information is in % (Therefore
the number 100 is a percentage,
not a value).
2) The amount is decreasing, not increasing!
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10. 5.2 Notes.notebook December 05, 2012
Homework:
Pg. 349 #3­10
Mult. choice #1,2
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