LrChIIISIIIQuadraticFunctions - 1 3.3: Quadratic Functions...

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1 3.3: Quadratic Functions Recommended Examples: 6( pp : 144 & 145) ; Recommended Pr actice Prob#2 ( Page #142)& Pr actice Prob#3 ( #144) Recommended Problems.: 29 ; 31 ; 33 ; 39 ; 41 Home Work Problems: 27 ; 29 ; 31 ; 34 ; 36 ; 39 ; 40 : De&nition. A function f is a quadratic function if amd only if f ( x ) can be written in the form f ( x ) = ax 2 + bx + c , where a:b and c are constants and a 6 = 0 : f ( x ) = ax 2 + bx + c f ( x ) = a & x 2 + b a x ±
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= a " x 2 + 2 : b 2 a :x + b 2 4 a 2 & b 2 4 a 2 # + c = a & x + b 2 a ± 2 + c & b 2 4 a y & c & b 2 4 a ! = a & x + b 2 a ± Vertex of the Parabola: ² & b 2 a ; f & & b 2 a ±³ : a < 0 : The parabola open downward. a > 0 : The parabola open upword.
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Example. HB69E4.10. A manufacturer can produce ra- dio at a cost of $2 each. The radio have been selling for $5 each, and at this price, consumers have been buying 4000 radios a month. The manufacturer is planning to raise the price of the radios and estimate that for each $1 increase in the price, 400 fewer radios will be sold each month. Express the manufacturer&s monthly pro±t as a func- tion of the selling price.
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LrChIIISIIIQuadraticFunctions - 1 3.3: Quadratic Functions...

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