april 30, 2018 - mlcompton.files.wordpress.com · 04/04/2018 · april 30, 2018 for any...
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exponential function a function of the form where
7.1Exploring Characteristics of Exponential Functions
Pages 436 439
Examples Determine which of the following represent exponential functions:
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Page 436 4371. For the following functions, complete the table of values using the given values of x and sketch on the axis provided:
x y
2
1
0
1
2
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x y
2
1
0
1
2
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x y
2
1
0
1
2
5
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x y
2
1
0
1
2
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x y
2
1
0
1
2
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x y
2
1
0
1
2
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2. Using your results, complete the following table:
Function # xintercepts yintercept End Behavior Domain Range
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For Any Exponential Function....1. Are there any characteristics common to polynomial functions?
2. Are there any characteristics that are different than polynomial functions?
3. Are there any xintercepts?
4. Is the range restricted?
5. Is the end behavior different whether it is increasing or decreasing?
6. What is the pattern in the y values?
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Generally: For a function of the form where
# xintercepts
yintercept
End Behavior
Domain
Range
Exponential Growth: Exponential Decay:
b: b:
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Complete the following:• Page 439 exercises 1 3. For exercise 3,
complete the following tables of values for each function: x y
2
1
0
1
2