Polynomial Graphs Carroll

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

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)

What are the decreasing interval(s)?

• (- ∞, 0) & (2, ∞ )

• (-1, 0) & (2,-4)

• (0,2)

• (0, -4) & (0, 2)

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

4 is a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum

How many real zeros does the function have?

• None

• 2

• 3

• 4

What are the increasing intervals?

• (- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)

• (3, 4) & (3, 8)

• (- ∞, -1) & (1, ∞)

• (-1, 0) & (1, ∞)

What degree is the function?

• 1

• 2

• 4

• 10

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