## Need MAJOR help with Calc lab. Piecewise functions.

Okay, so this is a pretty big problem and I KNOW this is asking for TONS. But we've been working on this for so long and we just can't get it. And it's due tomorrow, and my entire group is freaking out.

five points lie on a function (1,20) (2,4) (5,3) (6,2) (10,1)
there are only 3 inflection points
there is at least one local maximum
there is at least one local minimum
at least one critical point is not at a given point
the curve is continuous and differentiable throughout
the equation is not a single polynomial but must be a piecewise defined function