
9/1 Increasing, Decreasing, and Constant Intervals
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned

Kristine Kunkel
Used 80+ times
FREE Resource
4 Slides • 11 Questions
1
9/1 Increasing, Decreasing, and Constant Intervals
Math Analysis Honors
Ms. Kunkel
2
Increasing, Decreasing, and Constant Intervals (over the domain)
Always read intervals from left to right
Always use parenthesis
Interval A: Increasing (0, 2)
Interval B: Constant (2, 4)
Interval C: Decreasing (4, 5)
Interval D: Increasing (5, 8)
Increasing (0, 2) U (5, 8)
3
Increasing, Decreasing, and Constant Intervals (over the domain)
Constant (-5, -4) U (0, 1)
Decreasing (-4, 0) U (2, )
Increasing (1, 2)
A common mistake is to say the graph is increasing from -1 to +1. That would be reading along the
y-axis. Intervals are read over the domain, (x-axis) left to right only!
4
Multiple Choice

When is the function decreasing?
(30, 55)
(40, 60]
(15, 40)
(60, -40)
5
Multiple Choice
When is this function increasing?
(-3, 3)
(-2.5, 2.5)
[-3, 3]
(3, ∞)
6
Multiple Choice
On which interval(s) is the given function increasing?
(-∞, 2) U (-2, ∞)
(-2, 2) U (-2, ∞)
(-∞, -2) U (0.5, ∞)
(0, 2) U (0.5, ∞)
7
Multiple Choice
Describe the interval(s) over which the given function is decreasing.
(-∞, 0) U (2, ∞)
(5, -4) U (0, -3)
(-3, 0) U (2, 3)
(2, 3)
8
Multiple Choice
How would you describe the behavior of this function on the domain interval (-1, 1)?
increasing
decreasing
constant
9
Multiple Choice
Is interval 2 increasing, decreasing, or constant?
Increasing
Decreasing
Constant
10
Multiple Choice
Is interval 3 increasing, decreasing, or constant?
Increasing
Decreasing
Constant
11
Multiple Choice
Is interval 4 increasing, decreasing, or constant?
Increasing
Decreasing
Constant
12
Multiple Choice
What is/are the increasing interval(s) for the function shown?
(−3, 1)
(4, 8)
(−∞,1) and (−3, 1)
13
Multiple Choice
What is the decreasing interval on the function shown?
(−∞, −3)
(−∞, −4)
(−4, ∞)
(−3, ∞)
14
Multiple Choice
What is the interval of decrease of this function?
(1, ∞)
(-∞, ∞)
(2, ∞)
None
15
Week 4 Assignment
Finish Questions 7-10 on the worksheet
9/1 Increasing, Decreasing, and Constant Intervals
Math Analysis Honors
Ms. Kunkel
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