Lesson 2: Relations and Functions

In Lesson 2, the topics of Domain and Range, and how they apply to the interpretation of functions are reviewed. A number of important graphs of functions are presented, including the the absolute value of x, sinusoidal functions, and more advanced polynomial functions. The purpose of this lesson is to continue the student's review of important topics in functions and analytical geometry that will be utilized in introducing the topics of calculus in subsequent chapters. An important skill for the continued learning of calculus is how to identify a function from its graph, and to be able to graph a function based on its algebraic formula.

The calculation of the Domain and Range is extremely helpful to begin to graph a function, and also to identify a function from its graph. For many students, the calculation of the Domain and Range can become very formulaic, which is often exacerbated by exercises which only ask students to identify the Domain and Range of a potpourri of functions without providing any physical or visual intuition as to why the

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