Polynomial Graphs

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

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, ∞)

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 degree is the function?

• 1

• 2

• 4

• 10

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=y

• (x - 4)(x - 2)(x + 8)=y

• (x - 4)(x + 2)(x + 8)=y

• (x + 4)(x + 2)(x + 8)=y

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

• -1

• 1

• 5

• 6