Jump Discontinuity

Author

Eric W. Weisstein
August 25, 2014

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/JumpDiscontinuity.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/JumpDiscontinuity.html.

©2014 Wolfram Research, Inc. except for portions noted otherwise

Figures

1-D

Plot[Piecewise[{{Sin[x],x<2}},Sin[x]-1/4],{x,0,6},LabelStyle->{Black,FontFamily->"Times"},Epilog->{Red,Dashing[{.02}],Line[{{2,-2},{2,2}}]}]

Monotone Line Jump discontinuity

f[x_,y_]=Piecewise[{{{x,x},x+y>1},{{x-5,x-5},x+y≤1}}]

Plot3D[f[x,y],{x,-10,10},{y,-10,10},LabelStyle->{Black,FontFamily->"Times"}]