Question

a function is a relationship between inputs and outputs where each input results in exactly one output.
can you figure out the exact date when marcus won the swim meet?
no. it could have happened on the 6th, 13th, 20th, or 27th.
input: day of the week
output: date
is the relationship between inputs and outputs a function?
yes. each input has exactly one output.
no. some inputs have more than one output.

Explanation:

To determine if the relationship (input: day of the week, output: date) is a function, we use the definition of a function: each input must have exactly one output. Looking at the August 2024 calendar, a day of the week (e.g., Tuesday) corresponds to multiple dates (6th, 13th, 20th, 27th). So some inputs (days of the week) have more than one output (dates), meaning it is not a function.

Answer:

No. Some inputs have more than one output.