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Warm Up Factor and Solve 1. 6n2 + 23n + 7 = 0 2. 2y2 + 5y + 2 = 0
3. 6x2 – 23x + 7 = 0 4. 7x2 – 26x - 8= 0
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L9-3 Obj: Students will be able to graph rational functions
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Review: Find POD’s and determine type
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Horizontal Asymptotes
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Ex 3: Find the asymptotes
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Ex 4: Find the asymptotes
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Find the asymptotes
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Find the asymptotes
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Find the asymptotes
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Find the asymptotes
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Find the asymptotes
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White Board
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L9-4 Obj: Students will multiply, divide, and simplify rational expressions
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Simplify . State any restrictions on the variable.
Rational Expressions LESSON 9-4 Additional Examples Simplify State any restrictions on the variable. x2 – 6x – 16 x2 + 5x + 6
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Simplify each expression.
Rational Expressions LESSON 9-4 Additional Examples Simplify each expression. 3 x2 y5 z –1 6 x –3 y2 z a.
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4 a5 b c2 b. (2 a –2 b3)2 c3 (continued) Rational Expressions
LESSON 9-4 Additional Examples (continued) 4 a5 b c2 b. (2 a –2 b3)2 c3
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Multiply and . State any restrictions on the variable.
Rational Expressions LESSON 9-4 Additional Examples Multiply and State any restrictions on the variable. 3x2 + 5x – 2 x – 5 x2 – 25 3x2 – 7x + 2
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Divide by . State any restrictions on the variables.
Rational Expressions LESSON 9-4 Additional Examples 3 – y (2x – 1)(x + 5) 6(y – 3) (2x – 1)(x – 7) Divide by . State any restrictions on the variables.
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HW: L9-3 (p513) #19-30, 32-34, 41-43 L9.4 (page 519) #1-18
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