Polynomials - Even and Odd Functions

Which point does not represent a zero of a polynomial?

• (-2, 0)

• (-1, 0)

• (0, 4)

• (2, 0)

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

• The function has an odd degree.

• The function has an even degree.

• The function has an absolute maximum.

• The function is odd.

• A
• B
• C
• D

Which one of the following functions is even?

• f(x) = x⁴ + x³

• g(x) = x⁴ + x²

• h(x) = x⁵ + x³

• k(x) = x³ + x

Which one of the following functions is odd?

• f(x) = 3x⁴ - 4x³

• g(x) = 5x⁴ + 3x²

• h(x) = 6x⁵ - x³

• k(x) = x⁶ + 8x²

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→ ⁻∞

If the graph of a function touches the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

What is the end behavior for the graph?

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ⁻∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ⁻∞

The function shown in the graph is:

• even

• odd

• neither odd nor even

• both odd and even