Degree and End Behavior of Polynomials Review

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→⁻∞

Tags

CCSS.HSF-IF.C.7E

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

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

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

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

Describe the end behavior by the degree and leading coefficient.

• The function has an even degree and a positive leading coefficient.

• The function has an even degree and a negative leading coefficient.

• The function has an odd degree and a positive leading coefficient.

• The function has an odd degree and a negative leading coefficient.

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Is the leading coefficient positive or negative? Why?

• The leading coefficient is POSITIVE because the RIGHT SIDE goes UP.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes UP.

• The leading coefficient is POSITIVE because the RIGHT SIDE goes DOWN.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes DOWN.

What is the end behavior of this graph?

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ⁻∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ⁻∞

Which of these describes end behavior for the polynomial y = 3x⁴ + 2x³ - 7?

• a

• b

• c

• d