Calculus Increasing and Decreasing Intervals, First Derivative Test, Absolute Extrema

How many increasing and decreasing intervals are there in this graph?

• 2 increasing, 2 decreasing

• 1 increasing, 2 decreasing

• 2 increasing, 1 decreasing

• 1 increasing, 1 decreasing

What are the extrema of the graph?

• Max = (0,-4)

  Min = (-1.5,0) and (1.5, 0)

• Max = (0,1.5) and (0, -1.5)

  Min = (-4,0)

• Max = (-1.5,0) and (1.5, 0)

  Min = (0,-4)

• Max = (-4,0)

  Min =(0,1.5) and (0, -1.5)

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 increasing intervals?

• (- ∞, 0) & (2, ∞ )

• (-1, 0) & (2,4)

• (0,2) & (-3, -7)

• (-8, -3) & (-7, 8)

What are the decreasing intervals on the graph?

• (-∞, 0) & (-4, ∞)

• (-∞, -1) & (1, ∞)

• (-∞, -2) & (2, ∞)

• (-∞, 0) & (4, ∞)

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)

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)

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

How many increasing/decreasing intervals 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

As x increases, y does what

• increases

• decreases

• No

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