Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days, and the output is the total cost. This mapping diagram shows the inputs and outputs of the rental cost. (a) is this a function? (b) what is the domain? (c)what is the range?

(a) It is a function.

(b) D = [1,2,3,4,5]

(c) R = [40,80,120,160,200]

Step-by-step explanation:

(a) Is this a function?

Yes, in order to be a function we need two groups, in this case "time in days" and "total cost". From this group the first one is called the domain, while the other one is called range. The elements in the domain can only have one associated element in the range. By this definition the graph displays a function.

(b) What is the domain?

The domain of a function are the numbers which represent the possible input. In this case it is the group of integer numbers from 1 to 5, in order words D = [1, 2, 3, 4, 5].

c) What is the range?

The range is the group which represent the output of the function and in this case it is the group R = [40, 80, 120, 160, 200]