Combined Ifte Functions - HP 49g+ User Manual

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(associated with the Y key). To define this function in ALG mode use the
command:
DEF(f(x) = IFTE(x>0, x^2-1, 2*x-1))
then, press `.
In RPN mode, type the function definition between
apostrophes:
then press „à.
Press J to recover your variable menu.
available in your soft key menu. Press ‚@@@f@@@ to see the resulting program:
<<
To evaluate the function in ALG mode, type the function name, f, followed by
the number at which you want to evaluate the function, e.g., f(2), then press
`. In RPN mode, enter a number and press @@@f@@@.
that f(2) = 3, while f(-2) = -5.

Combined IFTE functions

To program a more complicated function such as
you can combine several levels of the IFTE function, i.e.,
'g(x) = IFTE(x<-2, -x, IFTE(x<0, x+1, IFTE(x<2, x-1, x^2)))'
Define this function by any of the means presented above, and check that
g(-3) = 3, g(-1) = 0, g(1) = 0, g(3) = 9.
'f(x) = IFTE(x>0, x^2-1, 2*x-1)'
x 'IFTE(x>0, x^2-1, 2*x-1)' >>
x
,
x
x
, 1
2
g
(
x
)
x
, 1
0
2
x
,
x
The function @@@f@@@ should be
Check, for example,
2
x
0
x
2
2
,
Page 3-36

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