Chapter 17: Activities 481
Graphing Piecewise FunctionsGraphing Piecewise FunctionsGraphing Piecewise FunctionsGraphing Piecewise Functions
Problem
ProblemProblem
Problem
The fine for speeding on a road with a speed limit of 45 kilometers per hour (kph) is 50;
plus 5 for each kph from 46 to 55 kph; plus 10 for each kph from 56 to 65 kph; plus 20 for
each kph from 66 kph and above. Graph the piecewise function that describes the cost
of the ticket.
The fine (Y) as a function of kilometers per hour (X) is:
Procedure
ProcedureProcedure
Procedure
1. Press z. Select Func and the default settings.
2. Press o. Turn off all functions and stat plots. Enter the Y=function to describe the
fine. Use the TEST menu operations to define the piecewise function. Set the graph
style for Y1 to í(dot).
Y = 0
Y = 50 + 5 (X N 45)
Y = 50 + 5 … 10 + 10 (X N 55)
Y = 50 + 5 … 10 + 10 … 10 + 20 (X N 65)
0 < X 45
45 < X 55
55 < X 65
65 < X