Question
If the function f(n) models the size of a jar that holds n marbles to be sold in a toy store, which describes an appropriate domain for the function?
Responses
A all integers where n ≥ 0all integers where n ≥ 0
B all real numbers where n ≥ 0all real numbers where n ≥ 0
C all rational numbers where n > 0all rational numbers where n > 0
D all rational numbers where n ≥ 0
Responses
A all integers where n ≥ 0all integers where n ≥ 0
B all real numbers where n ≥ 0all real numbers where n ≥ 0
C all rational numbers where n > 0all rational numbers where n > 0
D all rational numbers where n ≥ 0
Answers
GPT-4o mini
In this context, the function f(n) models the size of a jar that holds n marbles. Since the number of marbles (n) cannot be negative and must be a whole number (you can't have a fraction of a marble in this scenario), the most appropriate domain for the function would be:
**A**. all integers where n ≥ 0
This includes all non-negative integers (0, 1, 2, 3, ...), which is the appropriate set of values for n in this context.
**A**. all integers where n ≥ 0
This includes all non-negative integers (0, 1, 2, 3, ...), which is the appropriate set of values for n in this context.