Graphs and Zeros of Polynomial

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

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

• y = x(x - 9)(x - 3)(x + 2)

• y = x(x + 9)(x + 3)(x - 2)

• y = -x(x - 9)(x - 3)(x + 2)

• y = -x(x + 9)(x + 3)(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 degree is the function?

• 1

• 2

• 4

• 10

Is the leading coefficient positive or negative

• positive

• negative

For each function, state the maximum number of turns the graph could make. f (x) = x³ − x² − 4

• 6

• 2

• 4

• 5

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

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

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

• -1

• 1

• 5

• 6

Even or Odd degree?

• even

• odd