Relative Minimums and Maximums/First Derivative Test

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

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

• 2
• 3
• 4
• 5

What is the relative max?

• y = 36 at x = 0
• y = -6.55 at x= -2.55
• (-∞, ∞)
• None

What is the relative max of this function?

• x = 5
• infinity
• there is no relative maximum
• 2.5 and it occurs at x = 5

Which of the following statement are false.

• There is a relative min at the point (8,0)
• There is another relative min at the point (0,-7.5)
• There is a relative max at the point (5,2.5)
• There are more relative maximums than there are relative minimums.

How would you describe the point at (0,6)?

• Relative Minimum

• Absolute Minimum

• Relative Maximum

• Absolute Maximum

Check all the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Tags

CCSS.HSF-IF.C.7A

Check all the intervals where this graph is increasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

What is the Range of the function being graphed?

• (-∞, ∞)

• (7, ∞)

• (-∞, 7)

• (-1, 1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the Relative Maximum and Minimum. Round to nearest tenth.

• A

• B

• C

• D