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Chapter 4. Functions

Chapter 4. Functions

OBJECTIVES

When you have completed this chapter, you should be able to

  • Distinguish between relations and functions.

  • Recognize different forms of a function: equation, table of point pairs, verbal statement, graph.

  • Use functional notation.

  • Distinguish between implicit and explicit forms of an equation.

  • Rewrite a simple implicit equation in explicit form.

  • Substitute into a function.

  • Manipulate a function.

  • Manipulate functions by calculator.

  • Write a composite function.

  • Find the inverse of a function.

  • Find the domain and range of a function.


The equations we have been solving in the last few chapters have contained only one variable. For example,


  

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