Polynomial Degree and End Behavior

• 2

• 3

• 4

• 5

• 2

• 3

• 4

• 5

• Rises to the right, falls to the left

• Falls to the right, rises to the left

• Rises to the right, rises to the left

• Falls to the right, falls to the left

• Rises to the right, falls to the left

• Falls to the right, rises to the left

• Rises to the right, rises to the left

• Falls to the right, falls to the left

What is the end behavior of this polynomial?

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.

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.

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

What is the degree and end behaviors of the function behind this text? (As x−>∞, as x−>-∞, as usual...)

• 2; ∞,-∞

• 3; ∞,∞

• 4; ∞,∞

• 6; ∞,∞

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞