In mathematics, a function is a relationship or rule that assigns each input value from a set (called the domain) to exactly one output value in another set (called the range). In other words, a function is a kind of "machine" that takes an input and produces a unique output.
In the given table, the day of the week serves as the input (domain) and the number of children in the car serves as the output (range). Each day of the week has a corresponding and unique number of children in the car. For example, Sunday corresponds to 2 children, Monday corresponds to 4 children, and so on.
Therefore, this table shows a function because each input (day of the week) is associated with exactly one output (number of children in the car), meeting the definition of a function as a relation that assigns each input to exactly one output.
Use the table to answer the question.
Day of the WeekNumber 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?
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