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Graph Simple Rational Functions
Section 8.2 Graph Simple Rational Functions
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California Standard: 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions including those with negative exponents in the denominator.
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By following instructions, students will be able to:
OBJECTIVE(S): By following instructions, students will be able to: Graph rational functions.
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Parent Function for Simple Rational Functions The graph of the parent function is a hyperbola. The domain and range are all nonzero real numbers. Any function of the form ( ) has the same asymptotes, domain, and range as the function Vertical asymptote x=0 Horizontal asymptote y=0
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EXAMPLE 1: Graph the function . Compare the graph with the graph of .
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Graphing Translations of Simple Rational Functions x=h is the vertical asymptote y=k is the horizontal asymptote Vertical asymptote x=1 x=h Horizontal asymptote y=1 y=k
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EXAMPLE 2: Graph the function State the domain and the range.
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U-TRY#1: Graph the function. State the domain and range. a) b) c) 8
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EXAMPLE 3: Graph the function State the domain and the range.
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HOMEWORK Sec 8.2 WS
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