Chapter 9: Rational Functions - Easy As PI!...2015/06/09 · 9.1 Exploring rational...
Transcript of Chapter 9: Rational Functions - Easy As PI!...2015/06/09 · 9.1 Exploring rational...
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Chapter 9: Rational Functions
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Chapter 9
9.1 Exploring Rational Functions Using TransformationsPages 430 445
1. Complete the following table for and sketch on the axis provided. Sketch on the
graphing calculator and verify your table.
Investigating Rational Functions:
x y
2
1
1/2
1/2
1
2
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General Form:
a >
b >
h >
k >
asymptotes >vertical: horizontal:
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2. Using your knowledge of transformations , sketch the following on the axis provided:
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Function a) b) c)
Nonpermissible ValueBehavior near nonpermissible value
End Behavior
Domain
Range
Vertical Asymptote
Horizontal Asymptote
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More Examples: Rewrite each of the following functions in the form
Determine the equation of the asymptotes and any intercepts.
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Example 2 and Example 3: Your TurnPage 435 and 437
Sketch the graph of the following functions and complete a table provided in the examples.
Answer
a)
Answer
b)
Page 435 Page 437
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Function a) b) c)
Nonpermissible ValueBehavior near nonpermissible value
End Behavior
Domain
Range
Vertical Asymptote
Horizontal Asymptote