Analyzing Polynomial Functions

Identify the sign of the leading coefficient and the degree of the polynomial.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

Identify the sign of the leading coefficient and the degree of the polynomial.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

As x --> -∞, f(x) --> ____

As x --> +∞, f(x) --> ____

• -∞

  -∞

• +∞

  -∞

• -∞

  +∞

• +∞

  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.APR.A.1

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.B.3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

What are the zeros of this function, including multiplicity?

• -1 and 2 (mult. 2)

• -1 (mult. 2) and 2

• 1 (mult. 2) and -2

• 1 and -2 (mult. 2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.APR.A.1

What are the roots of the polynomial function?
y = (x + 2)(x - 7)²

• -2, 7 multiplicity 2

• -2, 7, 3
• 2, -7 multiplicity 2

• 2, -7, 3

Tags

CCSS.HSA.APR.B.3

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

Tags

CCSS.HSA.APR.B.3

Which zero has a multiplicity of two?

• 1
• -4
• -1
• 2