The format of definition has one of the following forms:
F(x)
F(x);xmin
F(x);xmin,xmax
F(x);,xmax
where
F(x) – is an expression which (after evaluations) can contain only variable, corresponding to the abscissa axis. By default, variable name is x.
xmin – left limit of the plotting interval
xmax – right limit of the plotting interval
If neither xmin nor xmax are specified, the graph is plotted on its whole domain.
If xmax is not specified, the graph is plotted right to xmin ; if xmin is not specified, the graph is plotted left to xmax .
Examples:
sin(x)/x^2 ; graph of function y=sin(x)/x2 on the whole abscissa axis
ln(x);1 ; graph of function y=ln(x) for x>1
cos(x);-pi/2,pi/2 ; graph of function y=cos(x) on the segment [-π/2,π/2]
cos(x)*le(abs(x),pi/2) ; graph of function y=cos(x) inside [-π/2,π/2] and y=0 outside of it
2*cos(x)*gt(x,0)+2*le(x,0) ; graph of function y=cos(x) for x>0 and y=2 for x≤0
Remarks to the last two examples. To specify a function by different formulas for different segments one can use so-called “indicator functions”. For instance,
lt(a,b) means “a is less then b”,
gt(a,b) means “a is greater then b”,
le(a,b) means “a is less or equal b”,
ge(a,b) means “a is greater or equal b”.
eq(a,b) means “a is equal b”.
Value of indicator functions is 1 if corresponding condition holds true and is 0 otherwise