Chapter Test
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What are the possible amounts of money you can have if you only have quarters? What is the smallest unit you can measure distance?
See solution.
Let's look at each of these functions individually.
Since we can only have whole quarters, the input values for x will only be whole numbers. The domain will then be all non negative integers.
We need to consider that the distance changes based on how much time has passed. We know that time is a continuous quantity and that it can never run backwards. Therefore, the function's domain is continuous and can be any value greater than or equal to zero. t≥0 Zero is whenever you started keeping track of the amount of time that has passed. Since we do not know how far home is, we cannot find a maximum value.
Even when both domains are made of numbers greater than or equal to 0 the domain of Function A is discrete, as it is made of integers. The domain of Function B is continuous, because it is made of real numbers.