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?
(2 points)
In math, a function is a relationship between two sets where each input from the first set is assigned to a unique output in the second set. This means that for every input, there is only one output.
The table shows a function because for each day of the week (input), there is only one corresponding number of children in the car (output). For example, on Monday, there were 4 children in the car, and this value does not appear on any other day of the week. This satisfies the definition of a function where each input has a unique output.
In mathematics, a function is a relation or rule that associates each element in a set (called the domain) with a unique element in another set (called the range). It means that for every input in the domain, there is only one output in the range.
Looking at the table provided, it shows the number of children in the car for each day of the week. In this case, the days of the week can be considered as the input (domain) and the number of children in the car as the output (range).
The table shows a function because each day of the week (input) corresponds to only one specific number of children in the car (output). For example, on Sunday, there are 2 children in the car, and on Monday, there are 4 children in the car. There are no repeating values or instances where a single day maps to multiple numbers of children. This one-to-one correspondence between the input and output makes it a function.