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In this problem, we walk through a general procedure of finding horizontal and vertical asymptotes of a function. Fill in the blanks and make the appropriate selections to fill in the details of the following sketch. Let f(x) -4x-+24x+20 Let's first find all horizontal asymptotes. First, we compute that lim f(x) - Number This tells us that the (2+5) (x-1) horizontal line with equation is a horizontal asymptote. Next, we evaluate lim f(a) , and find that: O lim f(x) exists and is not equal to lim f(x). Thus, we have found a second horizontal asymptote. lim f(x) exists and is equal to lim f(). Thus, there isn't a second horizontal asymptote. O lim f(x) does not exist. Thus, there isn't a second horizontal asymptote. Now, we try to find the vertical asymptotes, which can only occur where fa ) is discontinuous. Notice that the function has two discontinuities, at = -5 and at c = 1. Analyzing f(x) around x - -5, we find that At least one of lim f(x), lim f(x) is infinite. Thus, a = -5 is indeed a vertical asymptote. 1 7 5