Polynomial and End Behavior

Describe the degree and leading coefficient for the polynomial shown.

• Lead Coefficient: Positive

  Degree: Even

• Lead Coefficient: Positive

  Degree: Odd

• Lead Coefficient: Negative

  Degree: Even

• Lead Coefficient: Negative

  Degree: Odd

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

What is the degree of the polynomial:

3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹

• 8

• 9

• 5

• -4

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)→ ?

• -∞

• ∞

How many relative extrema(tuning points) are in the picture?

• 2

• 3

• 4

• 5

What is the predicted end behavior of: y=-2x⁴+3x-1

• up on both ends

• down on both ends

• up on left, down on right

• down on left, up on right

Classify the polynomial by degree.

• quartic

• quintic

• 6th degree polynomial 

• 7th degree polynomial