End Behaviors of Polynomials

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→⁻∞

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→0 and x→∞, y→⁻∞

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→ ⁻∞

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→⁻∞

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

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

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

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

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

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

Describe the end behavior of the function.
y = 4x¹⁰

• down and down
• down and up
• up and down
• up and up

Describe the end behavior of the function. (Put the polynomial in standard form first*)
y = -6x + 4 + 9x³

• down and down
• down and up
• up and down
• up and up