Question
Children Present in Car by Day of 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? (2 points)
Answers
GPT-4o mini
In mathematics, a function is a relationship or rule that assigns each element from one set (the domain) exactly one element from another set (the range). In simpler terms, a function takes an input and produces a unique output for that input.
Now, considering the provided table where the days of the week correspond to the number of children in the car:
- Sunday: 2
- Monday: 4
- Tuesday: 4
- Wednesday: 3
- Thursday: 4
- Friday: 3
- Saturday: 0
This table shows a function because each day of the week (the input) is associated with exactly one value representing the number of children in the car (the output). There are no days of the week that yield multiple different numbers of children; therefore, the relationship is consistent with the definition of a function. Even if some inputs (days) share the same output (like Monday, Tuesday, and Thursday all having 4 children), each specific input still corresponds to only one output. Thus, the table represents a valid function.
Now, considering the provided table where the days of the week correspond to the number of children in the car:
- Sunday: 2
- Monday: 4
- Tuesday: 4
- Wednesday: 3
- Thursday: 4
- Friday: 3
- Saturday: 0
This table shows a function because each day of the week (the input) is associated with exactly one value representing the number of children in the car (the output). There are no days of the week that yield multiple different numbers of children; therefore, the relationship is consistent with the definition of a function. Even if some inputs (days) share the same output (like Monday, Tuesday, and Thursday all having 4 children), each specific input still corresponds to only one output. Thus, the table represents a valid function.