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Properties of Rational Functions The Graph of a Rational Function
Sections 4.4 & 4.5 Properties of Rational Functions and The Graph of a Rational Function Copyright © 2013 Pearson Education, Inc. All rights reserved
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Find the domain of a rational function.
Objectives Find the domain of a rational function. Find the vertical asymptotes of a rational function. Find the horizontal or oblique asymptote of a rational function. Analyze the graph of a rational function. Copyright © 2013 Pearson Education, Inc. All rights reserved
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Rational numbers: ratios of integers
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The x-intercepts are the real zeros of the numerator that are in the domain of R. x – 1 = 0 so x = 1 is the only x-intercept. Copyright © 2013 Pearson Education, Inc. All rights reserved
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Step 3: x-int: (y=0) x=0,1 y-int: (x=0) y=0
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Homework: 4.4 #13-23 odd, 43, 45, 47, 53 4.5: # 9, 33 Copyright © 2013 Pearson Education, Inc. All rights reserved
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