Evaluating Polynomials and End-Behavior

What is the Degree of the Polynomial?

• 1

• 2

• 3

• 4

What is the degree of the polynomial:

3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹

• 8

• 9

• 5

• -4

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 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 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→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→∞ and x→⁻∞, y→⁻∞

Determine the end behavior of the graph of 
f(x) = 3x⁴ + 2x - 5

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 1

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Using the above graph what is the sign of the leading coefficient?

• Positive

• Negative

Which function has this end behavior?
Note: f(x)=y

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1