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Published byJonathan McGarry Modified over 3 years ago

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A plumber charged $110 for a three hour job and $160 for a five hour job. At this rate, how much would he charge for an eight hour job. $ 110 Charge 3 hr Hours worked $ hr $?$? $?$? 8 hr plumbers normally charge a basic fee to just show up, and then they charge per hr.

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Distance Time $235

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A linear function is a linear equation written with f(x) instead of y Equation notation Function notation Lesson 3.8Linear Functions ( 2, 5) Ordered Pair f(2) = 5 Input, output

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Example: Find an equation of the linear function f a) m =, b = 4 f(x) = x + 4 f(x) = mx + b

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b) f(-2) = 1, m = 3 step1: Rewrite the function notation as ordered pair step2: write the equation using the point slope form y – y 1 = m(x – x 1 ) step3: write the equation in the function notation. f(x) = 3x + 7 (-2, 1) f(-2) = 1 x1x1 y1y1 y – 1 = 3(x + 2) y – 1 = 3x + 6 y = 3x + 7

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c) f(0) = 7, f(4) = -1 step1: rewrite the function notation as ordered pair (0, 7) f(0) = 7 (4, -1) f(4) = -1 step2: find the slope (0, 7) and (4, -1) x1x1 y1y1 x2x2 y2y2 step3: write the equation using the point slope form y – y 1 = m(x – x 1 ) step4: write the equation in the function notation. f(x) = -2x + 7 y – 7 = -2(x – 0) y – 7 = -2x y = -2x + 7

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d) If f(1) = 3, f(-1) = 5, find f(10)=? and f(100)=? step1: rewrite the function notation as ordered pair (1, 3) f(1) = 3 (-1, 5) f(-1) = 5 step2: find the slope (1, 3) and (-1, 5) x1x1 y1y1 x2x2 y2y2 step3: write the equation using the point slope form y – y 1 = m(x – x 1 ) step4: write the equation in the function notation. f(x) = -x + 4 y – 3 = -1(x – 1) y – 3 = -x + 1 y = -x + 4 f is a linear function step5: find f(10) and f(100) f(10) = - (10) + 4 = -6 f(100) = -(100) + 4 = -96

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Home Work (2 – 22 + even 28, 29, 30) Page 149, 150

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