The Graphs of piecewise nonlinear functions exercise appears under the Algebra II Math Mission and Mathematics III Math Mission. This exercise recognizes the graphs of piecewise non-linear functions.

Table of Contents

## 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.

Select the correction piece-wise function for the graph

## 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 < or > 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.
3. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.

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