Graphing Piecewise Functions - Texas Instruments TI-83 Manual Book

Graphing Piecewise Functions

Problem
Procedure
17-4 Applications
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
Y = 50 + 5 (X N 45)
Y = 50 + 5 ... 10 + 10 (X N 55)
Y = 50 + 5 ... 10 + 10 ... 10 + 20 (X N 65)
1. Press z. Select
2. Press o. Turn off all functions and stat plots. Enter the
function to describe the fine. Use the
Y=
operations to define the piecewise function. Set the
graph style for
3. Press p and set
. Ignore
Yscl=10
@Y in step 4.
4. Press y [
QUIT
@X , and then store
VARS Window X/Y
the horizontal and vertical distance between the centers
of adjacent pixels. Integer values for
nice values for tracing.
5. Press r to plot the function. At what speed does
the ticket exceed 250?
and the default settings.
Func
to í (dot).
Y
1
,
Xmin=L2 Xscl=10
and ; they are set by
Xmax Ymax
] to return to the home screen. Store
to @Y . @X and
5
secondary menu.
0 < X  45
45 < X  55
55 < X  65
65 < X
menu
TEST
, , and
Ymin=L5
@X and
@Y are on the
@X and @Y specify
and produce
@X @Y
to
1