Public Finance—Property Tax: The average homeowner’s property tax in a certain community can be modeled by
f(x) = −15x2 + 300x + 1200 0 ≤ x ≤ 9
where x represents the number of years since 2002, and f(x) is the average property tax.
(a) Does the graph of the model open up or down? How do you know this?
(b) The domain of the model consists of x-values in the interval [0, 9]. What is the corresponding range?
(c) Determine the average rate of change in the property tax from 2004 to 2009.
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