Polynomial Functions Matching

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises

• Left Side:  Rises
  Right side: Falls

• Left side: Falls
  Right side: Rises

• Left side: Falls
  Right side: Falls

Which of the following is a polynomial function?

Determine which of the following functions are Polynomials.

Groups:

(a) Polynomial

,

(b) Not Polynomial

What could be the equation for this graph?

• y = -2x³ + 1x + 3

• y = (x - 2)(x + 1)(x + 3)

• y = (x + 2)(x - 1)(x - 3)

• y = -2x² + 1x + 3

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

This graph is a(n)...

• Third degree polynomial

• Sixth degree polynomial

• Even function

• Fifth degree polynomial

What is the degree of the function graphed here?

• 2

• 3

• 4

• 5