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Rational and Piecewise Functions
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What is g(-3)?
g(-3) = 0
Oops!
Okay!
What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
y = 3 (Degree Top = Degree Bottom)
Oops!
Okay!
What is the HORIZONTAL asymptote.
y = 2
Oops!
Okay!
What is the end behavior for an EVEN degree with negative coefficient?
Down, Down
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Okay!
What parent functions make up our piecewise graph?
Linear, Quadratic, Linear
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What is the VERTICAL asymptote
x = -3
Oops!
Okay!
What is the VERTICAL asymptote
x = 4
Oops!
Okay!
What is the VERTICAL asymptote (hint - use the denominator)
x = 4
Oops!
Okay!
What is g(-5)?
g(-5) = 4
Oops!
Okay!
What is the VERTICAL asymptote? (hint - use the denominator)
x = -2
Oops!
Okay!
What "piece" of our function should we use to find g(0) ?
2nd Equation
Oops!
Okay!
What is the VERTICAL asymptote (hint - use the denominator)
x = -3
Oops!
Okay!
What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
None (Degree Top > Degree Bottom)
Oops!
Okay!
What is the end behavior for an ODD degree with negative coefficient?
Up, Down
Oops!
Okay!
What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
y = 0 (Degree Bottom > Degree Top)
Oops!
Okay!
What is the end behavior for an EVEN degree with positive coefficient?
Up, Up
Oops!
Okay!
What is the end behavior for an ODD degree with positive coefficient?
Down, Up
Oops!
Okay!
Solve the rational function.
x = 8/21
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Okay!
What is the VERTICAL asymptote? (hint - use the denominator)
x = 1
Oops!
Okay!
What is the LCD of our rational function?
LCD: 4x
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Okay!
What is the HORIZONTAL asymptote
y = -5
Oops!
Okay!
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