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Can a linear function be continuous but not have a domain and range of all real numbers

Can a linear function be continuous but not have a domain and range of all real numbers
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Can a linear function be continuous but not have a domain and range of all real numbers

User AceBox
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Yes. As long as it is linear, it will be continuous no matter the numbers. Now, I have no idea what a "real" number is, but I hope this helped. 
User Khurram Majeed
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