Use the table to answer the question.

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)

Answer 1

In mathematics, a function is a relationship or a rule that assigns each input exactly one output. In other words, for every element in the domain (the set of possible inputs), there is one and only one corresponding element in the range (the set of possible outputs). Functions can be represented in various forms, such as equations, graphs, or tables.

Considering the given table, it shows a function because each day of the week (the input) is associated with a specific and unique number of children in the car (the output). For instance:

• On Sunday (input), there are 2 children (output).
• On Monday (input), there are 4 children (output).
• Every day of the week maps to exactly one number of children.

No day of the week has multiple values for the number of children, which confirms that this relationship adheres to the definition of a function.