Polynomials -short A-

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

f(x) = (x-4)²(x+1)

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

Is the leading coefficient positive or negative

• positive
• negative

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

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 is the degree of the function graphed here?

• 6
• 4
• 3
• 5

For the function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, and 5, 2}

• {−2 mult. 3, and 3, 1}

• {0 mult. 3, and 3, 2}

• {2 mult. 3, and 3, 3}

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

• Even degree, Positive LC

• Odd Degree, Positive LC

• Even degree, Negative LC

• Odd degree, Negative LC