Texas Instruments TI-83 PLUS - Manual (Page 567)

TI-83 Plus Activities 564
Graphing Piecewise Functions
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:
Y = 0 0 < X  45
Y = 50 + 5 (X N 45) 45 < X  55
Y = 50 + 5 ä 10 + 10 (X N 55) 55 < X  65
Y = 50 + 5 д 10 + 10 д 10 + 20 (X N 65) 65 < X
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 Y 1
to í (dot).