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The "bump" function is well known, useful for approximating the unit impulse:
Bump function displayed on fx-9750GII
To do this piecewise function on my Casio calculator, you must use conditionals, which evaluate to 1 or 0:
Y1=e^(-1÷(1-X²))×(X>-1 And X<1)
I was wondering also how to reference a previously defined function in the Graph equation list. You must use the special bold Y symbol available by pressing F1 while inputting the equation. Here is an example, although the menu is not showing in this picture:
Function reference while in graph equation list
Using this feature, here is the bump function shifted up 1 unit: