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Functions Unit Test

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Question
Use the table to answer the question.

This table records the number of children present in the car for each day of the week.
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?

1 answer

In mathematics, a function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. This means for every unique input, there is one and only one corresponding output.

Now, looking at the provided table of the number of children present in the car for each day of the week, we can determine that this table represents a function because:

  1. Unique Inputs: Each day of the week (Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday) serves as a unique input.

  2. Single Output for Each Input: For each day (input), there is one distinct number of children present (output). For example, on Sunday, there are 2 children; on Monday, there are 4; and so forth. No day has more than one associated number of children.

Since every input (day of the week) corresponds to one and only one output (number of children), the relationship represented in the table fulfills the definition of a function in mathematics.