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7. (4 points) Let r(x) be a rational function which has one hole at x :1, one vertical asymptote at x = 2 , and

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7. (4 points) Let r(x) be a rational function which has one hole at x :1, one vertical asymptote at x = 2 , and one horizontal asymptote at y = 0 . Which of the following functions is a formula for r(x) ? Circle the correct answer. _3(x+2) = =L (a) r(x) _ (x -1)3 (b) r(x) (x _ 2)(x _1)1 (C) r(x) (x + 2)(x_1) _ 2x + 4 = W - 1) (d) r(x) _ (x + 2)\" _ 1) (e) r(x) (x _ W 8. (10 points) Factor (completely) the polynomial using non-graphical techniques: x4 3x3 +32:2 3x + 2 1. (4 points) Let n = log(p) and m = log(q) . What is log Va Circle the correct answer. n n m An m An (a) 4 (b) 4 (c) Jm (d) (e) 2 2 2n m 2. (5 points) Let h(x) =-3log, (16x) . Determine the correct formula for h (x) .3. (3 points) After taking a single dose of Prozac, the amount, P (in milligrams), of the drug remaining in the bloodstream x hours later can be modeled by the function: P = 80(0.925)" . Of the following statements, which one is true? Circle the correct answer. (a) The amount of drug remaining in the bloodstream increases by 92.5% per hour. (b) The amount of drug remaining in the bloodstream decreases by 92.5% per hour. (c) The initial dose of Prozac was 92.5 mg. (d) The amount of drug remaining in the bloodstream decreases by 7.5% per hour. (e) The decay factor for the drug Prozac is 0.075

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