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Q: How can i Describe a real world situation where it is reasonable to have a negative number included in the domain or range?
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What is meant by reasonable a domain and range?

Recall that domain is the input of a function, and the range is the output. If the value for the input (domain) represents the height of a person, it would not be reasonable to use a negative number for the input because this would indicate a negative height. That would not be realistic or negative. Some events would be reasonable or realistic if a negative number would be used as a valid time input and some events would not. For example, a negative time may represent the time before blastoff, but a negative time would not be realistic if it was used to represent the time you spent on homework last week. Only zero or a positive number would be realistic, therefore the reasonable domain would be non-negative numbers (positive numbers and zero).