Polynomial Graphs and Their Multiplicities

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)

How many turning points will a quartic function with four real zeros have?

• 1

• 2

• 3

• 4

Which of the following is true about the leading coefficient and degree of y = x⁴ - 4x³ – 2x -3?

• positive, odd

• negative, even.

• positive, even.

• negative, odd

Determine the end behavior of the graph of polynomial function f(x) = -x⁵ – 3x⁴ + 4?

• rises to the left, falls to the right

• falls to both sides

• rises to both sides

• rises to the right,falls to the left

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

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

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.

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

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

The polynomial function f(x) = -3x⁴ + x³ - 2x² + x - 1

will cross the y-axis at which point?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)