Relative Maxima and Minima

​Identify the location and value of any relative maxima or minima of the function.

​The point ________ is the lowest point in the small interval around x=_____.

​At x=_____ the function has a relative minimum of ______.

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​The point ________ is the highest point in the small interval around x=_____.

At x=_____ the function has a relative maximum of ______.​

​At x=_____ the function has a relative minimum of ______.

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​At x=_____ the function has a relative minimum of ______.

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​At x=_____ the function has a relative maximum of ______.

Multiple Choice

What is the Relative Max?

• $$36$$

• $$-6$$

• $$+\infty$$

• $$-\infty$$

Multiple Choice

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Relative Maximum

• Relative Minimum

Multiple Choice

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

Multiple Choice

When is this function increasing?

• -3<x<3

• -2.5<x<2.5

• x>2.5

• x>3

Multiple Choice

Where is the function increasing?

• y <3

• x<-1

• y>3

• x>-1

Multiple Choice

At what point is the minimum of this graph?

• (4,1)
• (1,-4)
• (-1,0)
• (3,0)

Multiple Choice

Identify the relative maximum:

• (0, 3)
• (4, 1)
• (3, 0)
• (1, 4)

Multiple Choice

Which point is the relative maximum of the graph shown?

• A

• B

Multiple Choice

How many relative minima and maxima does the graph have?

• 1 relative maximum
  1 relative minimum
• 1 relative maximum
• 1 relative minimum