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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 6a <strong>–</strong> Exponents and Rational Functions<br />

In this lesson, we put quadratics aside for the most part (not entirely) in this lesson and move to a<br />

study of exponents and rational functions. The rules of exponents should be familiar to you from<br />

a previous course and from lesson 2b but they are presented here again for your review and<br />

practice.<br />

After exponents, you will embark on a study of rational functions. These may be unlike any<br />

function you have ever seen. Rational functions look different because they are in pieces but<br />

understand that the image presented is that of a single function.<br />

In this lesson, you will graph rational functions and solve rational equations both graphically and<br />

algebraically. You will finish the lesson with an application of rational functions.<br />

Lesson Objectives<br />

By the end of this lesson, you should be able to:<br />

1. Use PROPERTIES OF EXPONENTS to simplify expressions<br />

2. Identify key characteristics of graphs of RATIONAL FUNCTIONS<br />

3. Solve RATIONAL FUNCTIONS by graphing<br />

4. Solve RATIONAL FUNCTIONS algebraically<br />

5. Solve applications of RATIONAL FUNCTIONS<br />

Scottsdale Community College Page 239 <strong>Intermediate</strong> <strong>Algebra</strong>

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