Polynomial Graph Features (and Christmas)

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→ ⁻∞

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

What is the degree of the function graphed here? How many real zeros does this function have?

• 6; 2

• 4; 5

• 3; 3

• 5; 5

What degree is the function? How many real zeros does this function have?

• 1; 4

• 2; 2

• 4; 2

• 4; 4

Is the leading coefficient positive or negative

• positive
• negative

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

What is the leading coefficient of the following coefficient?

• 1

• 4

• 7

• 2

What are the x intercepts for this polynomial?

• x=1, x=3, x=0

• x=0, x=3, x=1/3

• x=3, x=-4, x=0

• x=3/2, x=4, x=0

What is the y intercept?

• y=1

• y=2

• y=0

• y=4