End and Root Behavior of Polynomials

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

What is the degree of the function graphed here?

• 2

• 3

• 4

• 5

This equation represented by this graph has how many imaginary and how many real solutions?

• 5 real, 0 imaginary

• 4 real, 3 imaginary

• 3 real, 3 imaginary

• 3 real, 2 imaginary

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

Which root has even multiplicity?

• 1

• -4

• -1

• 2

What could be the function for this graph in factored form?

• f(x) = (x-4)²(x+2)

• f(x) = (x+4)²(x-2)

• f(x) = (x-4)(x+2)²

• f(x) = (x+4)(x-2)²

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 the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

If there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None