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Interval
Notational: ___
Date: ___ Block: ___
Mrs. Mission
Today we will use interval notation to write the domain and range of a
function ad tell where the function is increasing or decreasing. What
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How to fill out intervals and interval notation

How to fill out intervals and interval notation
01
To fill out intervals and interval notation, follow these steps:
02
Write an open interval by using parentheses ( ) around the endpoints.
03
Example: (a, b)
04
Write a closed interval by using brackets [ ] around the endpoints.
05
Example: [a, b]
06
Write a half-open interval by using a combination of parentheses and brackets.
07
Example: (a, b] or [a, b)
08
Determine whether the endpoints are included or excluded from the interval. If the endpoint is included, use '[ ]'. If the endpoint is excluded, use '( )'.
09
Use infinity (∞) notation for unbounded intervals. To indicate that an interval extends indefinitely in one direction, use either '(-∞, a)' or '(b, ∞)', depending on whether the negative or positive infinity is involved.
10
Example: (-∞, b] or [a, ∞)
11
Combine multiple intervals with the union symbol '∪'.
12
Example: (a, b) ∪ [c, d)
Who needs intervals and interval notation?
01
Intervals and interval notation are commonly used in mathematics, specifically in calculus and real analysis.
02
Here are some examples of who needs intervals and interval notation:
03
- Mathematicians who study functions, limits, continuity, and derivatives often use intervals to describe the domain and range of functions.
04
- Engineers and scientists use intervals to represent the range of possible values for variables in models and simulations.
05
- Statisticians use intervals to estimate population parameters and conduct hypothesis tests.
06
- Economists use intervals to analyze economic data and make predictions.
07
- Computer scientists use intervals in algorithms and data structures for efficient searching and sorting.
08
- Architects and designers use intervals to represent dimensions and measurements in blueprints and technical drawings.
09
- Anyone working with sets, ranges, or intervals in any field of study or profession may need to use interval notation.
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What is intervals and interval notation?
Intervals are a way of representing a range of values or numbers, often used in mathematics and statistics. Interval notation is a mathematical notation that describes an interval on the real number line, using parentheses and brackets to denote whether endpoints are included or excluded.
Who is required to file intervals and interval notation?
Typically, individuals or entities who are involved in financial reporting, especially in scenarios where specific ranges of data need to be disclosed, are required to file intervals and interval notation.
How to fill out intervals and interval notation?
To fill out intervals and interval notation, identify the range of values you wish to express, then use brackets [ ] for included endpoints and parentheses ( ) for excluded endpoints. For example, the interval from 1 to 5, inclusive, is written as [1, 5].
What is the purpose of intervals and interval notation?
The purpose of intervals and interval notation is to succinctly communicate a range of values in a clear and standardized manner, which is useful in mathematics, statistics, and data analysis.
What information must be reported on intervals and interval notation?
The information that must be reported includes the specified range of values, whether endpoints are included or excluded, and the context in which these intervals are being used.
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