Deck 2: Polynomial and Rational Functions

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Find a polynomial function with following characteristics.
Degree: 4
Zero: 1 -1 , multiplicity: 2
Zero: 3 -3 , multiplicity: 2
Falls to the left,
Falls to the right
Absolute value of the leading coefficient is one

A) y=x44x3+22x2+24x+3y = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } + 24 x + 3
B) y=x44x3+12x2+9y = - x ^ { 4 } - 4 x ^ { 3 } + 12 x ^ { 2 } + 9
C) y=x46x318x2+10x+3y = x ^ { 4 } - 6 x ^ { 3 } - 18 x ^ { 2 } + 10 x + 3
D) y=x48x322x224x9y = - x ^ { 4 } - 8 x ^ { 3 } - 22 x ^ { 2 } - 24 x - 9
E) y=x48x324x+9y = - x ^ { 4 } - 8 x ^ { 3 } - 24 x + 9
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Sketch the graph of the rational function below. Sketch the graph of the rational function below.    <div style=padding-top: 35px> Sketch the graph of the rational function below.    <div style=padding-top: 35px>
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Deck 2: Polynomial and Rational Functions
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Find a polynomial function with following characteristics.
Degree: 4
Zero: 1 -1 , multiplicity: 2
Zero: 3 -3 , multiplicity: 2
Falls to the left,
Falls to the right
Absolute value of the leading coefficient is one

A) y=x44x3+22x2+24x+3y = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } + 24 x + 3
B) y=x44x3+12x2+9y = - x ^ { 4 } - 4 x ^ { 3 } + 12 x ^ { 2 } + 9
C) y=x46x318x2+10x+3y = x ^ { 4 } - 6 x ^ { 3 } - 18 x ^ { 2 } + 10 x + 3
D) y=x48x322x224x9y = - x ^ { 4 } - 8 x ^ { 3 } - 22 x ^ { 2 } - 24 x - 9
E) y=x48x324x+9y = - x ^ { 4 } - 8 x ^ { 3 } - 24 x + 9
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Sketch the graph of the rational function below. Sketch the graph of the rational function below.    Sketch the graph of the rational function below.
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