The rational function

models the number of arrests, f(x), per 100,000 drivers, for driving under the influence of alcohol, as a function of a driver’s age, x.a. Graph the function in a [0, 70, 5] by [0, 400, 20] viewing rectangle.b. Describe the trend shown by the graph.c. Use the Zoom and trace features or the maximum function feature of your graphing utility to find the age that corresponds to the greatest number of arrests. How many arrests, per 100,000 drivers, are there for this age group?

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f(x) = 27,725(x - 14) x² + 9 X 5x