A discrete function is a function with distinct and separate values. This means that the values of the functions are not connected with each other. For example, a discrete function can equal 1 or 2 but not 1.5.
Let's analize the options:
• Option A: This is continuos, the faucet can fills with 1 gallon, 1.1 gallon, and so. Also any previous value is connected with the next.
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• Option B: As in option B, the car drives for a continuos time.
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• Option C: This is a discrete relation, because Jacqueline could not sells a half of a chocolate bar, she sells discrete values of chocolate bars 1, 2, 3, ....
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• Option D: This is the same as option A.