Identifying Key Features of Polynomials

What is the end behavior for the graph?

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ⁻∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ⁻∞

Describe the end behavior for the graph.

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ⁻∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ⁻∞

Find the increasing interval

• (infinity, -2)

• (infinity, 2)

• (2, infinity)

• (-2, infinity)

Find the increasing interval

• (-1, infinity)

• (-infinity, -1)

• (-infinity, 4)

• (4, infinity)

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

Based on the end behavior of the polynomial, what best describes the leading coefficient?

• a negative real number

•  a positive real number

• an even real number

• an odd real number

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number

• a positive real number

• an odd real number

• an even real number

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree

• negative coefficient, odd degree

• negative degree, odd coefficient

• negative degree, even coefficient

What is the end behavior as x → -∞ f(x)→ ?

• -∞

• ∞

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