What bracket is used to denote a number is excluded from a domain?

Thread starter Mitchtwitchita
Start date Jan 13, 2008
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Bracket Domain

In summary, excluding a number from a domain means that it cannot be used as an input for a mathematical function or expression. Brackets are commonly used to denote excluded numbers in order to clearly define the domain. Different types of brackets, such as parentheses, square brackets, and curly brackets, may have different meanings when used to denote excluded numbers. It is possible for a number to be excluded from the domain of one function but not from another, depending on the specific rules and restrictions of each function. To determine which numbers are excluded from a domain, one must consider the rules and restrictions of the function as well as the context in which it is being used.

Jan 13, 2008

Mitchtwitchita

When asked to find the domain, what bracket is used to denote that a number is excluded or included in the domain, ( or [?

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Jan 13, 2008

nicksauce

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( or ) means excluded, [ or ] means included.
Example: For The Unit cirlce [tex]\theta \in [0,2\pi)[/tex]

Jan 13, 2008

Mitchtwitchita

Thanks a bunch nicksauce!

1. What does it mean to exclude a number from a domain?

Excluding a number from a domain means that the number is not a valid input for a particular mathematical function or expression. It is not included in the set of numbers that can be used to evaluate the function or expression.

2. What is the purpose of using brackets to denote excluded numbers?

Using brackets to denote excluded numbers helps to clearly define the domain of a function or expression. It allows for easier identification of which numbers are not included in the set of possible inputs.

3. Are there different types of brackets that can be used to denote excluded numbers?

Yes, there are different types of brackets that can be used to denote excluded numbers. The most common ones are parentheses (), square brackets [], and curly brackets {}. Each type of bracket may have a slightly different meaning depending on the context in which it is used.

4. Can a number be excluded from a domain for one function but not for another?

Yes, it is possible for a number to be excluded from the domain of one function but not from another. This depends on the specific rules and restrictions of each function. A number may be excluded from a domain for one function because it results in a division by zero, while it may be a valid input for a different function.

5. How can I determine which numbers are excluded from a domain?

To determine which numbers are excluded from a domain, you can look at the rules and restrictions of the function or expression. These may include avoiding division by zero, negative values under a square root, or values that result in non-real solutions. It is also important to consider the context in which the function is being used.