Texas Instruments TI-84 - Manual (Page 484)

Chapter 17: Activities 481
Graphing Piecewise Functions Graphing Piecewise Functions Graphing Piecewise Functions Graphing Piecewise Functions
Problem Problem Problem 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 Procedure Procedure 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