Functions

This upcoming week, we will be digging into the world of functions. We will start with what a function is, then further dissect proportional vs. non proportional functions as well as linear and non-linear functions. As the week progresses, students will be making the connections/similarities between equations and functions. Yes, they can seem very similar, hence the confusion. By the end of the unit, students should be able to defend the following points:

1.Both equations and functions use expressions.
2.Values of variables in the equations are solved based on the value equated, while values of variables in functions are assigned.
3.In a vertical line test, graphs of equations intersect the vertical line at one or two points, while graphs of functions can intersect the vertical line at multiple points.
4.Equations always have a graph while some functions cannot be graphed.
5.Functions are subsets of equations.

Can't wait to see what the week brings!