When you want to create and graph a specific list of values of a function f(x), for example, for x = 0, .01, .02, .... , .99, 1, you do not need a program.
Store f(x) in Y1 (or another Y variable).
Create two lists,
seq(.01N,N,0,100)→L1 ENTER
Y1(L1)→L2 ENTER
Then in STAT PLOT (2nd Y= 1) put
Xlist:L1
Ylist:L2
Set the WINDOW and GRAPH.
Here is an example for the unit Making an open box with maximal volume.
\Y1=(8.5-2X)*(11-2X)*X
seq(.25N,N,1,17) →L1 ENTER
Y1(L1)→L2 ENTER
Then in STAT PLOT (2nd Y= 1) put
Xlist:L1
Ylist:L2
Set the WINDOW to Xmin=0, Xmax=4.5, Ymin=18, Ymax = 68, and then GRAPH. You will see
If Y1 is highlighted, you will see