

Extrema and Function Analysis (3.2 CA)
Presentation
•
Mathematics
•
9th Grade - University
•
Practice Problem
•
Medium
Standards-aligned
David Granda
Used 12+ times
FREE Resource
8 Slides • 12 Questions
1
Extrema and Function Analysis
3.2 Corrective Assignment Examples

2
Multiple Choice
What is an Absolute Maximum / Minimum
The highest/lowest point for the entire function/graph.
Any peak in the function
The part that tends to infinity or negative infinity of the graph
3
Multiple Choice
What is a local max/min?
A point higher/lower than its surrounding values. (a peak)
The second highest/lowest point in the graph
4
Multiple Choice
Find the domain for the graphed function
[∞,−1]∪(2,∞)
(−∞,∞)
(−4,−1]∪(2,∞)
5
(−∞,−1]∪(2,∞)
6
Multiple Choice
What is the Absolute Max/Min of the graphed function?
N/A
(2, -4) is an Absolute Min
(-1,1) is an Absolute Max
∞
7
Multiple Select
What is the Local Max/Min of the graphed function? (select all that apply)
N/A
(2, -4) is a Local Min
(-1,1) is an Local Max
(-2,-1) is a Local Min
8
Multiple Select
On what intervals is the Function Increasing and Decreasing? (select all that apply)
Increasing: (−2, 1)∪(2, ∞)
Decreasing: (−∞, −2)
It's a constant function
Increasing: (−2, ∞)
Decreasing: (−∞, 2)
9
10
As x goes to negative and positive infinity, how does the graph behave?
11
Open Ended
What anime (or film) do you recommend to watch?
12
Is there any part of the function that will affect its domain?
13
Multiple Choice
What inequality can we build to find the domain of the function?
x+5≥0
x+5>0
x2+2≤0
All real numbers
14
15
Multiple Select
Identify the Absolute Max/Min of the function.
Absolute Min at
(0.098, -2.247)
N/A
Absolute Max at
(-4.098, 7.025)
Absolute Min at
(-5,0)
16
Multiple Select
Identify the Local Max/Min of the function that are not absolutes.
Local Min at
(0.098, -2.247)
N/A
Local Max at
(-4.098, 7.025)
Local Min at
(-5,0)
17
Multiple Select
When is the graph increasing and decreasing?
Increasing:
(−5, −4.098)∪(0.098, ∞)
Decreasing:
(−4.098, 0.098)
Increasing: (−5, ∞)
the function is constant
18
19
20
Poll
Is there a skill you practice on your own? Something you see yourself doing 20+ years from now.
Study a subject or trade
Learn a musical instrument
Practice a sport
Visual Arts
Other
Extrema and Function Analysis
3.2 Corrective Assignment Examples

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