Q:

A contestant on a game show is given $100 and is asked five questions. The contestant loses $20 for every wrong answer. Is the graph discrete or continuous? Determine the domain and range.

Accepted Solution

A:
For the first question, remember that a discrete graph is one where you don't have any values for non-integer numbers. For example, can she miss 1.5 questions? No, she can only miss 1, 2, 3, 4, or 5 questions. On the other hand, a continuous graph would have values at all possible numbers of questions, so if it were continuous, she could miss 1.34828481 questions. Now for the second part, the domain is all of the input values. Here, that's the number of questions she misses, so the domain would be 0, 1, 2, 3, 4, 5. The range is all of the output values, or the amount of money she takes home in this case. So the range would be $100, $80,,$60, $40, $20, $0.