Use the table to answer the question.
Day Of The Week | Number Of Children in the Car
Sunday 2
Monday 4
Tuesday 4
Wednesday 3
Thursday 4
Friday 3
Saturday 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
In mathematics, a function is a relation between a set of inputs (called the domain) and a set of outputs (called the range) where each input is associated with exactly one output.
This table shows a function because each day of the week (input) is associated with a specific number of children in the car (output). For example, on Sunday, there are 2 children in the car; on Monday, there are 4 children; and so on. There are no instances where the same day of the week is associated with multiple numbers of children in the car, and there are no instances where different days of the week are associated with the same number of children. Therefore, this table satisfies the requirement that each input (day of the week) is associated with exactly one output (number of children in the car), making it a function.