11-10 Applications
You can use the parametric graphing feature of the TI.80 to graph the inverse
relation of any function by defining the function in XãT and YãT and its inverse in
XäT and YäT.
The function Y=.2X3ì2X+6 can be expressed in parametric
form as XT=T and YT=.2T3ì2T+6.
The inverse relation of the function can be expressed in
parametric form as XT=F(T) and YT=T. For example,
Y=.2X3ì2X+6 would be expressed as XT=.2T3ì2T+6 and
YT=T.
Graph the function Y=.2X3ì2X+6 and its inverse.
Follow this procedure to solve the problem.
1. Select Param, CONNECTED, and Simul modes.
2. Change the Window variable values.
Tmin=L10 Xmin=L15 Ymin=L9
Tmax=10 Xmax=15 Ymax=9
Tstep=.4 Xscl=1 Yscl=5
3. Enter the expressions to define the function in parametric
form.
X1î=T
Y1î=.2Tò–2T+6
4. Enter the expressions to define the inverse in parametric
form.
X2î=.2Tò–2T+6
Y2î=T
Graphing the Inverse of a Function
Problem
Procedure