Into Pieces

The process of evaluating piecewise functions is similar to evaluating ordinary functions, except for the fact that we need to choose the plece or chunk of the function to be used for the given value of x. We can do this by examining the appropriate interval where the input or the value of x belongs.

The process of hiring a catering service to serve food for a party is P150 per head for 20 persons or less, P130 per head for 21 to 50 persons, and 110 per head for 51 to 100 persons. For 100 or more persons, the cost is at P100 per head. The piecewise defined function of the number of attendees of the party is given by 150x 130x 110x 100x if 0 ≤ x ≤ 20 if 21 ≤ x ≤ 50 if 51 ≤ x ≤ 100 if x > 100 f(x) = where x is a counting or natural number

Instruction:

Make a flow chart for the given piecewise function. Use different shapes-1 shape or Start and End, 1 shape for Enter of Number of Heads and Display Computation, 1 shape for the different conditions, and 1 shape for formula for computation.