Functions Unit Test

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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)

In math, a function is a relation between a set of inputs (or independent variables) and a set of outputs (or dependent variables), where each input is related to exactly one output. This means that for every input in the domain, there is only one corresponding output in the range.

Looking at the table provided, each day of the week corresponds to a specific number of children in the car. For example, Sunday is always associated with 2 children in the car, Monday with 4 children, and so on. There are no repetitions in the table, meaning each day has a unique number of children in the car. This shows that the table represents a function because each input (day of the week) is paired with exactly one output (number of children in the car).