Determine the End Behavior of the Polynomial

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

• 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) →-∞.

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→2

• x →∞,y→2 and x→⁻∞, y→∞

Describe the end behavior of the function. (Put the polynomial in standard form first*)
y = -6x + 4 + 9x³

• down and down

• down and up

• up and down

• up and up

What is the degree of this polynomial function?  Is the leading coefficient positive or negative?
(Note: quartic means 4th degree, cubic means 3rd degree polynomials)

• quartic polynomial with a negative leading coefficient.

• quartic polynomial with a positive leading coefficient.

• cubic polynomial with a negative leading coefficient.

• cubic polynomial with a positive leading coefficient.

Which one means the function goes up on the left

• x →-∞, y→∞

• x →-∞, y→-∞

Which one means the function goes down on the left

• x →-∞, y→∞

• x →-∞, y→-∞

What is the end behavior of a fourth degree polynomial with a negative leading coefficient?

• up, up

• down, down

• down, up

• up, down

• Rises on the left and right

• Rises on left, falls on right

• Falls on the left, rises on the right

• Falls on the left and right

Is the degree of the graphed polynomial even or odd?

• Odd

• Even

What is the end behavior of a fifth degree polynomial with a negative leading coefficient?

• up, up

• down, down

• down, up

• up, down