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Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 6b - Rational Exponents and Radical Functions<br />

Mini-Lesson<br />

Problem 6<br />

MEDIA EXAMPLE <strong>–</strong> KEY CHARACTERISTICS OF RADICAL<br />

FUNCTIONS<br />

For each of the following, determine the domain, x-intercept, and y-intercept, then sketch an<br />

accurate graph of each.<br />

a) f ( x)<br />

4 x<br />

Domain of f (x)<br />

:<br />

b) g ( x)<br />

x 4<br />

Domain of g (x)<br />

:<br />

x-intercept:<br />

x-intercept:<br />

y-intercept:<br />

y-intercept:<br />

Problem 7<br />

YOU TRY <strong>–</strong> KEY CHARACTERISTICS OF RADICAL FUNCTIONS<br />

Given the function f ( x)<br />

12 4x<br />

, determine the domain, the x-intercept, the y-intercept (if it<br />

exists), and draw an accurate graph of the function.<br />

Domain of f (x)<br />

:<br />

x-intercept:<br />

y-intercept:<br />

Scottsdale Community College Page 270 <strong>Intermediate</strong> <strong>Algebra</strong>

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