Sketching Polynomials

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Describe the type of polynomial shown.

• Even degree, negative leading coefficient
• Even Function
• Odd degree, negative leading coefficient
• Even degree, positive 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

Is the leading coefficient positive or negative

• positive
• negative

What are the x-intercepts?

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Which equation best fits the graphed function?

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = ax(x - 9)(x - 3)(x + 2)

• y = ax(x + 9)(x + 3)(x - 2)

• y = -ax(x - 9)(x - 3)(x + 2)

• y = -ax(x + 9)(x + 3)(x - 2)

Which equation best represents the graphed function?

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

What is the degree of the function graphed here?

• 6
• 4
• 3
• 5