Parking Fees The fee charged per car in a downtown parking lot is $2.00 for the first half hour and $1.00 for each additional half hour or part thereof, subject to a maximum of $10.00. Derive a function f relating the parking fee to the length of time a car is left in the lot. Sketch the graph of f and determine the values of x for which the function f is discontinuous.
The parking fee for first half hour is and for additional half hour.
The maximum fee is .
The parking fee for first half hour is .
Therefore, where .
The fee for additional half hour is .
Therefore, where .
Similarly 1 is increased for each additional half hour and the maximum fee is .
Thus, the function is defined as below,
Plot the above function on a coordinate plane
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