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 math, a function is a relation between a set of inputs (domain) and a set of outputs (range), where each input corresponds to exactly one output. In other words, every input has a unique output.
Looking at the table, it shows a function because each day of the week (input) corresponds to 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 in the car. Each day has a unique number of children in the car, and there are no repeated inputs with different outputs. Therefore, the table represents a function.