

Relative Maximum and Relative Minimum Lesson
Presentation
•
Mathematics
•
9th Grade
•
Medium
Kevin Johnson
Used 323+ times
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6 Slides • 6 Questions
1
Relative Maximum and Relative Minimum Lesson

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Relative Maximum Definition
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the curve). Can also be called "local maximimum".
Points Q and S
3
Relative Minimum Definition
A relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the curve). Can also be called "local minimum".
Points P, R, and T
4
Multiple Choice
Does the graph have a relative maximum or relative minimum?
Maximum
Minimum
5
Multiple Choice
What is the relative maximum?
(1,2)
(2,2)
(0,-2)
6
Multiple Choice
What is the relative minimum?
(1,2)
(2,2)
(0,-2)
7
Multiple Select
Identify all local minimums.
(3.25, 2.25)
(2.25, 4.5)
(−.5, −7.5)
(5,6)
8
Absolute vs Relative
If multiple Relative Maximums exist on a curve, the one with the largest y value is the Absolute Maximum. The opposite occurs when looking for the Absolute Minimum.
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Relative Max not Absolute @ y=-5; (0,-5)
Other y values are larger
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Has an Absolute Mim. @ y =-10; (-1,-10)
No other y value is lower than -10
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Fill in the Blanks
The location of the absolute maximum is
Type answer...
12
Multiple Choice
What is the absolute minimum?
Does not exist
(−3, −2)
(2, 0)
(−∞,−∞)
Relative Maximum and Relative Minimum Lesson

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