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# Precal_Review_from_TG_with_answers - T hings you should...

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Things you should know before starting calculus! Evaluate the function. 1) Find f(k - 1) when f(x) = 5x 2 - 3x + 7. Graph the function. 2) f(x) = 2x + 7, 3x 2 - 1, for x <- 3, for - 3 < x < 4 - 3 for x > 4 For #3 and 4, give the domain and range using interval notarion. 3) f(x) = - x - 7 4) f(x) = 1 x 2 + 1x - 12 5) The demand function for the newest IPOD is D(p) = - .375p + 80 . a) Graph (and label) D(p) and R(p). b) Find the price to maximize revenue. Find the max revenue. c) If 70 units are desired by the consumer, what is the unit price? d) Find the quantity to maximize revenue. Solve the problem. 6) A certain viral infection causes a fever that typically lasts 6 days. A model of the fever (in Farenheit degrees) on day x is F(X) = - 2/3 X 2 + 14/3 X + 96 where the domain for x is [0,6]. a) According to this model, on what day should the maximum fever occur? Explain what the answer means. b) Graph and label the function. 7) Given: D(x) = - x 2 + 2x + 100, S(x) = 8x + 20 Find the Equilibrium Point. (Ignore the negative x value).

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