Answer:When the input value crosses specific boundaries, we utilize piecewise functions to describe how a rule or relationship changes. One of the best scenarios of using a piecewise function is when a certain product can be bought at wholesale price. For example, the regular price of a bike is P15,000. But if you buy 5 or more, the price will be P13,000 each. The input value which is P15,000 will change to P13,000 when the specific boundary is reached in this case, 5 pcs of bikes. We can write the piecewise function in terms of the price as f(x) = P15,000, when 0<x<5 and f(x) = P13,000, when x≥5.Additional Information:Example of a Piecewise FunctionA boat charges P300 per person for a tour with a group of 1 to 9 people or a fixed P3000 fee for a group of 10 or more people. Write a function relating the number of people, x, to the cost, C.C(x) = 3x when 0<n<10C(x) = 3000 when x≥10