5.2 Polynomials and End Behavior

What is the degree of the polynomial

f(x) = 3x²+4x-5?

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

What is the degree of the polynomial:

f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

What is the degree of the polynomial

f(x) = -4x³+5x-2?

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

What is the degree of the polynomial:

f(x) = -4x + 5x³ - 2x²

• Degree 2

• Degree 3

• Degree 4

• Degree 5

What is the leading coefficient for the polynomial g(x) = 2x³+4x-5?

• The leading coefficient is 2

• The leading coefficient is 3

• The leading coefficient is 4

• The leading coefficient is 5

What is the leading coefficient for the polynomial f(x) = -3x²-5x-4?

• The leading coefficient is 2

• The leading coefficient is -3

• The leading coefficient is -4

• The leading coefficient is -5

What is the leading coefficient for the polynomial f(x) =5-2x-4x³?

• The leading coefficient is -2

• The leading coefficient is 3

• The leading coefficient is -4

• The leading coefficient is 5

Determine the end behavior. If needed, enter the polynomial function into a graphing calculator or online graphing tool.

f(x) = 2x³-x+5

• Left up Right up

• Left up Right down

• Left down Right up

• Left down Right down

Determine the end behavior. If needed, enter the polynomial function into a graphing calculator or online graphing tool.

f(x) = -2x²+3x.

• Left up Right up

• Left up Right down

• Left down Right up

• Left down Right down

Describe the end behavior of the graph using infinity notation.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ∞ and x→⁻∞, y→ 0

• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞