Elvira wants to predict how much her cable television service will cost each month. She pays a
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This function has a couple of restrictions:
- y can't be less than zero, because when you have no money left you can't buy any more tickets
- x must be a positive integer, because you can't buy a negative of fractional amount of tickets.
With these constraints in mind, we can explicitly write all the possible (x,y) couples:
Where x is the number of tickets bought and y is the amount of money you're left with. So, if you buy no tickets, you still have all your $60. If you buy 1 ticket you're left with $52. If you buy 2 tickets, you're left with $44, and so on.
This table shows that the domain is the set
And the range is the set
And they are both discrete. To graph the function, simply draw all the (x,y) couples on a coordinate grid.