In mathematics, a function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output. This means that for every value in the input set (also known as the domain), there is a unique output value in the output set (the range).
Looking at the table provided, we see that each day of the week corresponds to a specific number of children in the car.
- Sunday has 2 children,
- Monday has 4 children,
- Tuesday has 4 children,
- Wednesday has 3 children,
- Thursday has 4 children,
- Friday has 3 children,
- Saturday has 0 children.
In this case, the days of the week are the inputs, and the number of children is the output. Each day consistently leads to one unique number of children.
Although multiple days (Monday, Tuesday, and Thursday) can have the same number of children, each day (input) still corresponds to one unique number of children (output). Therefore, this table represents a function because for every day of the week, there is a specific and unique number of children associated with it.