

Analyzing Graphs
Presentation
•
Mathematics
•
12th Grade
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 17 Questions
1
Unit 2: Functions and their Graphs
2.5 Graph Characteristics
Some text here about the topic of discussion.
2
Critical Points-
points where the function changes slope or sign.
Extrema-
points where the function changes direction (sign).
Point of Inflection-
point where the function changes slope, but not sign.
Some text here about the topic of discussion.
Vocabulary
3
Multiple Choice
How many extrema are there in this graph?
2 max, 2 min
3 max, 2 min
2 man, 3 min
3 increasing intervals, 2 decreasing intervals
2 increasing intervals, 3 decreasing intervals
4
Multiple Choice
How many extrema (max and mins) are in the picture?
2
3
4
5
5
Multiple Choice
6
Multiple Choice
How many critical points does this function have?
0
1
2
3
7
Relative Maximum-
a high point in the graph compared to values around it.
Absolute Maximum-
the highest point anywhere on the graph.
Relative Minimum-
a high point in the graph compared to values around it.
Absolute Minimum-
the lowest point anywhere on the graph.
8
Multiple Choice
This graph has an Absolute Maximum Point.
True
False
Cannot be determined
9
Multiple Choice
Which of the following does this graph not show?
10
Multiple Choice
The function shown has an Absolute Minimum.
True
False
Cannot be determined
11
Multiple Choice
The function shown has an Absolute Maximum.
True
False
Cannot be determined
12
Multiple Choice
How many Critical Points does this function contain?
*points at which the graph changes direction..
2 Critical Points
3 Critical Points
4 Critical Points
13
Multiple Choice
This graph contains an Absolute Maximum Point.
True
False
Cannot be determined
14
Multiple Select
Which point(s) are considered relative minimum points?
(-3,0)
(-2,40)
(1,-175)
(4,0)
15
Increasing Behavior-
Moving from left to right, any interval where the slope is positive.
Constant Behavior-
Any interval where the slope is zero.
Decreasing Behavior-
Any interval where the slope is negative, moving from left to right.
Some text here about the topic of discussion.
​https://www.desmos.com/calculator/xqcqzeiuan
16
Multiple Choice
What is the increasing interval for the function below?
(−∞,∞)
(−∞,2]
(−∞,6]
(−6,6)
17
Multiple Choice
What is/are the increasing interval(s) for the function shown?
(−3, 1)
(4, 8)
(−∞,1) and (−3, 1)
18
Multiple Choice
What is the decreasing interval(s) on the function shown?
(−7, −6) and (−2, 4)
(−7, 0) and (−2, 4)
(−7, −6) and (−2, 0)
(−7, 0) and (4, 5)
19
Multiple Choice
What is the decreasing interval(s) on the function shown?
(−∞, −15) and (9, −15)
(−2, 9) and (2, ∞)
(−∞, −2) and (0, 2)
(−2, 0) and (2, ∞)
20
Multiple Choice
21
Multiple Choice
Unit 2: Functions and their Graphs
2.5 Graph Characteristics
Some text here about the topic of discussion.
Show answer
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