17-4 Applications
8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM
Page 4 of 20
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 … 10 + 10 (X N 55) 55 < X 65
Y = 50 + 5 … 10 + 10 … 10 + 20 (X N 65) 65 < X
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).
3. Press p and set Xmin=L2, Xscl=10, Ymin=L5, and
Yscl=10. Ignore Xmax and Ymax; they are set by @X and
@Y in step 4.
4. Press y [QUIT] to return to the home screen. Store 1 to
@X, and then store 5 to @Y. @X and @Y are on the
VARS Window X/Y secondary menu. @X and @Y specify
the horizontal and vertical distance between the centers
of adjacent pixels. Integer values for @X and @Y produce
nice values for tracing.
5. Press r to plot the function. At what speed does
the ticket exceed 250?
Graphing Piecewise Functions
Problem
Procedure