Chapter 17: Activities 481
Graphing Piecewise Functions
Graphing Piecewise FunctionsGraphing Piecewise Functions
Graphing 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
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