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:
which simplifies to:
Procedure
1. Press z. Select
2. Press o. Turn off all functions and stat plots. Enter the
the
menu operations to define the piecewise function. Set the graph style for
TEST
í (dot).
3. Press p and set
they are set in step 4.
and
.
Func
Classic
,
,
Xmin=
L
2
Xscl=10
Ymin=
,
function to describe the fine. Use
Y=
,
and @
. Ignore
L
5
Yscl=10
X=1
Chapter 17: Activities
to
Y1
and
;
Xmax
Ymax
308
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