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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
ä
10 + 10
ä
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
Y1
to
í
(dot).