
5-5 The Absolute Extrema
Presentation
•
Mathematics
•
11th - 12th Grade
•
Hard
Jessica Stewart
Used 3+ times
FREE Resource
3 Slides • 5 Questions
1
5-5 The Absolute Extrema
Guided Notes
2
3
Multiple Select
Use the diagram to classify relative and absolute extrema.
Select ALL that apply.
A is an absolute maximum
B is a relative maximum
C is an relative maximum
D is an absolute minimum
E is an relative minimum
4
Multiple Select
Find all the critical numbers of
f(x) = 2x3 – 6x2 + 12
Select ALL that apply.
x= 4
x= 0
x= -2
x= 2
5
Multiple Select
Find the absolute extrema of f(x)=−5x+3 on the closed interval [ -2, 4]. Select ALL the correct answers.
Absolute maximum occurs when x = 4
Absolute maximum occurs when x = -2
Absolute minimum occurs when x = -2
Absolute minimum occurs when x = 4
Absolute maximum occurs when x = 5
6
7
Multiple Select
Find the absolute extrema of f(x)=x3−3x2−24x+4 on the closed
interval [ -4, 8]. Select ALL the correct answers.
Absolute minimum occurs when x = -4
Absolute maximum occur when x = -2
Absolute minimum occurs when x = 4
Absolute maximum occurs when x = 4
Absolute maximum occurs when x = 8
8
Multiple Select
Find the absolute extrema of f(x)=4x2−24x+6 on the closed interval [ 0, 8]. Select ALL the correct answers.
Absolute minimum occurs when x = 0
Absolute maximum occurs when x = 3
Absolute minimum occurs when x = 3
Absolute maximum occurs when x = 8
Absolute minimum occurs when x = 8
5-5 The Absolute Extrema
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