Sketching the polynomial based on the zeros, end behavior

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

Which function is a polynomial?

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Tags

CCSS.HSA.APR.A.1

Which graph is NOT a polynomial function?

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Tags

CCSS.HSA.APR.A.1

What could be the equation of the polynomial function shown in this graph?

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Tags

CCSS.HSA.APR.B.3

Determine the end behavior of the polynomial function.

• Up left, up right

• Down left, down right

• Up left, down right

• Down left, up right

Find the correct statement about the zeros.

• −5 is a zero with multiplicity 1

• −5 is a zero with multiplicity 2

• −2 is a zero with multiplicity 1

• 2 is a zero with multiplicity 2

Tags

CCSS.HSF-IF.C.7C

Find the incorrect statement

• The degree of this function is 5

• There is a zero at 3 with multiplicity 2

• The graph passes through the x-axis at −2

• The end behavior is up left, up right

Tags

CCSS.HSA.APR.B.3

Which choice is correct?

• This function has and even degree

• This function has a negative leading coefficient

• This function has a zero at 1.

• The zero at −2 has even multiplicity.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→∞ and x→⁻∞, y→⁻∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7