1. 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
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2. 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.
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3. Rational numbers: ratios of integers
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20. 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.
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24. Step 3: x-int: (y=0) x=0,1 y-int: (x=0) y=0
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28. Homework:
4.4 #13-23 odd, 43, 45, 47, 53
4.5: # 9, 33
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