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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 6b <strong>–</strong> Rational Exponents & Radical Functions<br />

In this lesson, we will continue our review of Properties of Exponents and will learn some new<br />

properties including those dealing with Rational and Radical Roots.<br />

Our function type for this lesson is Radical Functions and you will learn their characteristics,<br />

their graphs, and you will solve their equations both graphically and algebraically.<br />

This lesson puts to a close our study of functions that has led us through linear, exponential,<br />

logarithmic, quadratic, rational, and now radical functions.<br />

Lesson Objectives<br />

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

1. Compute using RATIONAL or RADICAL EXPONENTS<br />

2. Convert expressions from RATIONAL EXPONENT form to RADICAL<br />

EXPONENT form and back<br />

3. Simplify expressions using properties of EXPONENTS<br />

4. Identify key characteristics of graphs of RADICAL FUNCTIONS<br />

5. Solve RADICAL FUNCTIONS by graphing<br />

6. Solve RADICAL FUNCTIONS algebraically<br />

Scottsdale Community College Page 263 <strong>Intermediate</strong> <strong>Algebra</strong>

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