A
discrete quantity is a that can only take distinct, separate values in an . There are no values between these distinct values. The number of students in a class, the number of tickets for a concert, and the number of goals scored in a soccer match are examples of discrete quantities. These values are countable and typically represented by or .
Note that the value of the quantity can only be specific amounts such as
0, 1, or
2, as buying a fraction of the ticket is not an option. Although discrete quantities are often restricted to whole numbers, there are exceptions. Depending on the context, discrete quantities can take values from a set like
{-0.8,-0.4,0,0.4,0.8}.
If the of a is a discrete quantity, the function is said to have a
discrete domain. A function of this type can be identified by its graph, which is composed of any number of unconnected . Consider the function that models the costs of concert tickets, specifically for
0, 1, 2, 3, and
4 tickets.
The of this function is the set of integers from 0 to 4, indicating that the function has a discrete domain.