By using the definition of the rule we have:
a) C(9:00) = math.
C(10:00) = history.
b) yes.
c) Because each input has exactly one output.
Working with rules:
Here we have the rule C, such that when we input a value of time, the output is the class happening at that hour.
a) Assume that from 9:00 to 10:00 you have math, and from 10:00 to 11:00 you have history, then the rule would work as:
- C(9:00) = math.
- C(10:00) = history.
b) Yes, there is only one class that you can have at the same time, so each input can have only one output.
c) If a relationship has the above property (the one for point b) then it is a function.
If you want to learn more about functions, you can read:
https://brainly.com/question/4025726