Graphing Polynomials RW2

DEGREE: Which of the following sketches is an odd degree polynomial?

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ORIENTATION: Which of the following sketches has a negative orientation?

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MULTIPLICITY: Which graph DOES NOT have a root with an even multiplicity?

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f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x= -4, x=3, x= -2
• x= -4, x=3, x=2
• x= -4, x=3, x=2
• x=4, x= -3, x= -2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which of the following allows you to describe the end behavior of a polynomial?

• the degree and the constant
• the leading coefficient and the constant
• degree and the variable
• the degree and the leading coefficent

Tags

CCSS.HSF.IF.C.7

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the zeros (x-intercepts)?

• x = 2,-2
• x = 2,-2,0
• x = 2,0
• x = -4,-2,2,0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Select polynomial whose zeros and degree are given.

Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4

• (x + 5)³(x - 9)²(x + 2)(x - 4)

• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

• (x + 5)³(x - 9)²(x + 2)

• (x + 5)(x - 9)(x + 2)(x - 4)

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Tags

CCSS.HSA.APR.B.3