I'm doing a graphing activity using computers. I'll have my students explore linear equations, some quadratics and cubics as well. Just for fun, I'd like to give them a function that has a fun-looking graph. It can be a complicated one; I'll jsut have them type it in and graph it, they will not be analyzing it. Does anyone have any ideas? Thanks!

How about this http://www.wolframalpha.com/input/?i=plot+Sqrt[1+-+%28Abs[x]+-+1%29^2]+%3D%3D+-3+Sqrt[1+-+Sqrt[Abs[x]%2F2]]+from+x%3D-2+to+2

That's pretty cool, HMM. But, I DO want single variable real valued functions. I'm using a simpler program than wolframalpha, I'm using www.mathsisfun.com/data/function-grapher.php. It's simpler for my 7th graders, but it can't do the kind of piecewise relation that you had. Thanks, though! Any more ideas?

Try this: http://illuminations.nctm.org/LessonsList.aspx?grade=all&standard=2&srchstr=function Search through illuminations to find more lessons.

This site has some neat activities: http://www.shodor.org/interactivate/activities/WholeNumberCruncher/ Resources Activity Function MachineFunction Machine (Activity)Activity Graphit Activity Linear Function Machine Activity Number Cruncher Activity Positive Linear Function Machine Activity Possible or Not Activity Simple Plot Activity Vertical Line Test Discussion about Functions as Processes or Rules: "Function Machines"Functions as Processes or Rules: "Function Machines" (Discussion)Discussion about Multi-Step Functions Discussion about One Step Algebra Worksheet First Quadrant Grid 14x19 Worksheet First Quadrant Grid 28x37 Worksheet Whole Number Cruncher Exploration Questions Worksheet Whole Number Cruncher Exploration Questions (doc)

This looks interesting: http://www.ilovemath.org/index.php?option=com_docman&task=cat_view&gid=55&Itemid=31

though you can't use this it is still pretty cool http://www.wolframalpha.com/input/?i=ContourPlot3D[+%28x^2+%2B+9%2F4+y^2+%2B+z^2+-+1%29^3+-+x^2*z^3+-+++++9%2F80+y^2*z^3+%3D%3D+0+%2C+{x%2C+-2+%2C+2}%2C+{y%2C+-2%2C+2}%2C+{z%2C+-2%2C+2}] if you have access to Mathematica you can rotate it around to get the full 3D effect