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They are continuous.
Yes, using whole numbers.
Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. Explicit Definition - A definition of a function by a formula in terms of the variable.
Discrete as you cannot have half a purchase and do not need to use a measuring device.- Discrete : Information that is counted or measured in distinct separate units eg. kids in a family, books on a shelf- Continuous : Information measured along a continuous scale, requiring a measuring device eg. height, temperature, mass
This is called a discrete set (all points isolated) or a finite set. Finite sets are always discrete.