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Math 1201 College Algebra Essay

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Math 1201; College Algebra Mohamed Elsheshtawy University of the People June 22, 2016 Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞) f(x) =^(x-5)/^x 2. If f(t) = 2t – t2, what is (f(t + h) – f(t)) / h? f(t) = 2t – t^2 f(t+h) = 2(t+h) – (t+h)^2 =2t+2h-t^2-2th-h^2 f(t+h)-f(t)=(2t+2h-t^2-2th-h^2)-(2t – t^2) =2h-2th-h^2 and finally (f(t + h) – f(t)) / h=(2h-2th-h^2)/h=2-2t-h 3. If F = { (1,2), (3, 5), (4,7)} and G = { (1,4), (3,0), and (5, 2)}, what is F + G? What is F\G (using function arithmetic)? F = { (1+2), (3+ 5), (4+7)} = { (3) + (8) + (11)} = 22 G = { (1 +4), (3 + 0), and (5 + 2)} = { (5) + (3 ) + ( 7 )} = 15 F + G = 22 + 15 = 37 F/G= 1.4

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