A that can take any value within a given is a
continuous quantity. Such quantities not limited to specific, separate values, and they can be measured very precisely. Length, time, temperature, weight, and age are examples of continuous quantities.
Each on the corresponds to a specific age, and the line itself represents the possible ages. A person's age can be any , depending on the precision of the measurement. For example, using whole years, this person was
5 years old. However, with more detailed measurements, their age could be expressed as
5.5 years,
8 years and
2 months, and even
8 years and
88 days.
If the of a is a continuous quantity, the function is said to have a
continuous domain. The graph of such a function is typically a curve or a . Consider the graph of the function, which shows the relationship between a person's age and weight.
The of this function consist of all real numbers from 0 to 10, indicating that the function has a continuous domain.