Graphing Higher Degree Poilynomials (Extrema)

WHERE is the local minimum?

• x = 8

• x = 4

• x = 2

What is the location of the absolute maximum for the graphed function?

• x = 1

• x = 3

• x = 4

• x = 5

• Does Not Exist

Tags

CCSS.HSF-IF.C.7A

What are the local 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?

Local Maximum(s) ​ (a)  

Local Minimum(s)​ (b)  

Absolute maximum value​ (c)  

Absolute minimum value​ (d)  

Answers will be used more than once

• 2
• 3
• 0
• 1
• -4
• +3

Where is the relative (local) max?

• x = 0

• x = -2.55

• (-∞, ∞)

• None

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

• (-3, -2)
• (0, 3)

• (2, 0)
• (4, 1)
• (-5,1)

For the pictured polynomial, which of the following are a relative (local) minimum?

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

What type of extrema is (-3,2). Be as precise as possible.

• Absolute minimum

• Absolute maximum

• relative minimum

• Relative maximum

There is a relative maximum at:

• x = -1
• x = 3
• x = -0.5
• x = 1.5

How many extrema (maxes and mins) are in the picture?

• 2
• 3
• 4
• 5