In mathematics, a function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. In other words, for every unique input, there is only one corresponding output.
Now, looking at the provided table, we can assess whether it represents a function. The table lists days of the week as inputs (the independent variable) and the number of children in the car as outputs (the dependent variable). Each day of the week (from Sunday to Saturday) is associated with a specific number of children in the car:
- Sunday: 2
- Monday: 4
- Tuesday: 4
- Wednesday: 3
- Thursday: 4
- Friday: 3
- Saturday: 0
In this case, each day of the week (input) corresponds to exactly one output (the number of children), even though multiple days can have the same output (e.g., Monday, Tuesday, and Thursday all have 4 children). Because no day of the week is paired with more than one output (no two different numbers for the same day), this table meets the criteria to be a function. Thus, the relationship described in the table is indeed a function.