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