Graphs of piecewise nonlinear functions

The  exercise appears under the Algebra II Math Mission. This exercise recognizes the graphs of piecewise non-linear functions.

Types of Problems
There is one type of problem in this exercise:


 * 1) Move the cards to the right graphs: This problem provides a graph of a piecewise function. The student is asked to select the correct equation for the graph from the multiple choice list provided.Gopwnlf1.png

Strategies
Knowledge of writing domains and some of the parent graphs of common functions are encouraged to ensure success on this exercise. However, using a T-table is all that is necessary.
 * 1) One way to always create a graph is to create a T-table of values.
 * 2) An open dot is a whereas a closed dot indicates less than or equal or greater than or equal.
 * 3) Various functions can show up on this exercise, such as polynomials, conics and exponentials.

Real-life Applications

 * 1) An ability to graph and recognize graphs quickly will increase proficiency in the calculus which studies rates of changes of functions.
 * 2) Square root functions are useful in physics when modeling curvature of certain geometric figures.