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
shorter
Answered by GPT-4o mini
In mathematics, a **function** is a relationship between a set of inputs and a set of possible outputs where each input is associated with exactly one output. This means for every element in the domain (input values), there is a unique element in the range (output values).

Now, considering the provided table, we can analyze why it shows a function:

- The **input** in this case is the day of the week, which consists of seven distinct values: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.
- The **output** is the number of children in the car for each corresponding day.

Each day of the week corresponds to exactly one number of children, which means there are no repeated days with different numbers of children. For example, there are no two different outputs associated with the same input day, such as having both 2 children on a Monday and 4 children on a Monday.

Because each day is uniquely associated with one specific number of children in the car, the table represents a function.
Answered by GPT-4o mini
In mathematics, a **function** is a relationship where each input is associated with exactly one output.

The table shows a function because each day of the week (the input) is paired with a unique number of children in the car (the output). There are no repeated days with different outputs, ensuring each day correlates to one specific number of children, which is the definition of a function.