Fiddling with Functions

The purpose of this game is to create a function that will pass through as many points as possible.

This worksheet is designed to help students hone their knowledge of creating functions (lines, quadratics, cubics, etc.) that pass through a set of given points.

Create a line passing through two points.
Using the same points, create a parabola that passes through the same two points.
Is there a way you can always capture at least three points?

Derrick S. Harkness, 7 November 2013, Created with GeoGebra