Which of the following situations can be represented by a function with an infinite number of values in its range and only a finite number of values in its domain?
A.
The cost of a cell phone bill depends on the number of minutes spent talking on the phone. For one billing period, the customer has a maximum of 100 minutes to use.
B.
The cost of a cell phone bill depends on the number of minutes spent talking on the phone. Regardless of the number of minutes, the bill can be at most $100.
C.
The cost of a cell phone bill depends on the number of minutes spent talking on the phone. For every minute used on the phone, the cost is $.15.
D.
It is not possible for a function to have an infinite number of values in its range and only a finite number of values in its domain.
"D" is correct... in a function, if we have a finite number of values in the domain....each of these will be paired with some y value....
"A" has a finite domain, but not an "infinite" cost [ infinite range]....the cost depends upon the number of minutes but it is never greater than 100m ....where m represents the cost per minute
"B" has some finite domain domain ..... but also a finite range of $100
"C" has some finite domain and range [ we assume that there are not an infinite number of minutes in each billing cycle....!!!!!]