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AAT 1/7-8 Unit 3, Lesson 3, Inv 1
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Warm Up ½ sheet of paper when you walked in! First 15 minutes!
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Solving for Maximum Value (p.209) Reasoning: 1.Distributive Property 2.The function gives height, height is zero when gymnast is on the trampoline 3. Substitution substitute the factored form for h(t)
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Solving for Max Value Continued Reasoning: 4.Zero product rule (product is zero when one of the factors is zero) 5.Multiplication and Addition properties of equality (solve for t) 6.Parabolas have an axis of symmetry – the maximum value should be the midpoint between t=0 and t=1.5 7. Translation of function notation into words
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f(x) =x(x-5) a.Find the zeros – or find all x for which f(x) = 0 b.Sketch a graph c.Produce the graph on a calculator Zeros: x = 0 or (x-5) = 0 x=0, x=5
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Group Work #2 DO: b – h #3 a-e (p. 210) – Follow the same steps but now you will have three zeros a.Find the zeros – or find all x for which f(x) = 0 b.Sketch a graph c.Produce the graph on a calculator
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Write the equation from zeros Zeros: f(4) = 0, f(1) = 0 Equation: f(x) = (x )(x ) (x ) = 0 when x=4 (x ) = 0 when x=1 (x – 4) = 0 when x=4 (x – 1) = 0 when x=1 f(x) = (x – 4 )(x – 1)
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#4,5
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OTL OYO Page 212 and factoring worksheet Quiz Th/F
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