A hybrid graph, in mathematics, is a graph with multiple rules for x. It usually results in an irregularlyshaped graph, sometimes with an open or closed circle, both indicating discontinuity.
A typical hybrid graph, and its corresponding rule, would look like:
_
 x if x<1
f(x)= 1 if 1<x<1
_x if x>1

oo


1  1
oo
/  \
/  \
/  \
/  \
/  \
The graph can be differentiated at all points except those where there is discontinuity. For this hybrid:
 d/dx=1 if x<1
 d/dx=0 if 1<x<1
 d/dx=1 if x>1
Which
means that the following is a graph of d/dx for this particular hybrid:

o 1


1  1
o=====o



1 o

Examples of other hybrid functions include the absolute value, or modulus, function (where y=√x^{2}, xεR) or the greatest integer function.
Hybrids commonly have no set rule, but are found on statistical graphs, such as stock exchange graphs.
See also piecewise function.