Relative Extrema

Select all that are true:

• The graph has an absolute minimum

• The graph has two relative extrema

• The graph has

  a relative minimum

  at x=1

• The graph is increasing on its domain.

Identify the local minimum of the graph:

Mathematical Equivalence

ON

Select all that are true:

•  The graph increases to the left of x=1

  and decreases to the right of x=1
  

• there is no local or absolute minimum

What are the local minimums of the graph? Just enter numbers, separated by a comma:

(a)  

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)

What are the decreasing intervals?

What are the increasing intervals?

How many extrema are there in this graph?

• 2 max, 2 min

• 3 max, 2 min

• 2 man, 3 min

For the pictured polynomial, which can be a relative max?

• (-3, -2)
• (0, 3)

• (2, 0)
• (4, 1)
• (-5,1)

For the pictured polynomial, which of the following are a relative min?

• (3, -2)
• (0, 3)
• (2, 0)
• (4, 1)
• (-3,-2)