Unbounded Interval (Noun)
Meaning
An interval that does not include its endpoints.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The function is defined on the unbounded interval of all real numbers greater than zero, but not including zero itself.
- The graph of the function has a vertical asymptote at x=0, and the domain is the unbounded interval to the right of the asymptote.
- The set of all positive integers forms an unbounded interval in the real numbers, but it's not continuous.
- The unbounded interval from negative infinity to zero, excluding both endpoints, contains all the negative real numbers.
- The domain of the logarithmic function is an unbounded interval to the right of zero, and does not include zero itself.