Question

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)

Answer 1

In mathematics, a function is a relationship between a set of inputs and a set of allowed outputs where each input is related to exactly one output. This means that for each element in the domain (input), there is a single corresponding element in the range (output).

Now, considering the provided table, we can see that it lists the days of the week and the corresponding number of children in the car for each day. For this table to represent a function, each input (day of the week) must be associated with precisely one output (number of children).

In the table:

- Sunday → 2 children
- Monday → 4 children
- Tuesday → 4 children
- Wednesday → 3 children
- Thursday → 4 children
- Friday → 3 children
- Saturday → 0 children

Every day of the week has a specific number of children associated with it, and no day has more than one number of children attached to it. Therefore, this table shows a function because each day (input) is matched to one and only one count of children (output).