Positive and Negative Intervals Polynomials

What are the increasing and decreasing intervals of the graph?

• Increasing = (-∞,-3), (-1,2), (4, ∞)

  Decreasing = (-3,-1), (2,4)

• Increasing = (-3,-1), (2,4)

  Decreasing = (-∞,-3), (-1,2), (4, ∞)

• Increasing = (-∞,-3), (-1,2),

  Decreasing (-3,-1), (2,4), (4, ∞)

• Increasing = (-∞, 2), (-3, 1), (-1, ∞)

  Decreasing (2, -3), (1, -1)

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

What are the increasing and decreasing intervals of the graph?

• Increasing = (-1.5, 0) & (1.5, ∞)

  Decreasing = (-∞, -1.5) & (0, 1.5)

• Increasing = (-∞, -1.5) & (0, 1.5)

  Decreasing = (-1.5, 0) & (1.5, ∞)

• Increasing = (-∞, -1.5) & (1.5, ∞)

  Decreasing = (-1.5, 0) & (0, 1.5)

• Increasing = (-1.5, 0) & (0, 1.5)

  Decreasing = (-∞, -1.5) & (1.5, ∞)

What are the decreasing intervals on the graph?

• (-∞, 0) & (-4, ∞)

• (-∞, -1) & (1, ∞)

• (-∞, -2) & (2, ∞)

• (-∞, 0) & (4, ∞)

What are the extrema of the graph?

• Max = (2, -3), (1, 2)

  Min = (-3, -1), (-1, 4)

• Max = (-3, -1), (-1, 4)

  Min = (2, -3), (1, 2)

• Max = (-1, -3), (4, -1)

  Min = (-3, 2), (2, 1)

• Max = (-3, 2), (2, 1)

  Min = (-1, -3), (4, -1)

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

Which functions have a negative leading coefficient?

• A

• B

• C

• D

How many extrema are there in this graph?

• 2 max, 2 min

• 3 max, 2 min

• 2 man, 3 min

• 3 increasing intervals, 2 decreasing intervals

• 2 increasing intervals, 3 decreasing intervals

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞

• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞

• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞

• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

• (-inf, -.560)

• (-.560, .893)

• (.893, inf)

• (-4.052, -.985)