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XAMPLES How does the graph ol the function below vary as c varies? souTON The graphs to t 1-t (the spedal as s r-2 and c--2, show to very diffrent looking curve. Befen drawing ary more graph let's see what members of dis famly have in common, Snce for any value of , they all have the raxis an a horteontal asymplabe A vertical asygtote weill occur whe equation we get x=-1± asymptote-1 because x. Solving this When c >1, thene is no vertical asymptote the top graph). Whee c-1 the graph has a single vertical This shows that F℃x).@-x" ncreases on the interval masimum point becomen lowers this in lained by the fact chst 1/ 1)-Oasn, A deceases from 1. the vertical asymptotes become lob Matches! Inter % Calculus Q Quizlet c 1 isavalue at which a transition maurum port becomes lowver; this is explained by the fact that arc-1) 0 as c-+ on, Aa c decreases for, i , the more sadely separated because the distance betseen them is 2I-C which becomes lage a c r axis because Vc- 1)+0 as c vertical axymptotes to one, and then to none. As c increaes from 1, ae see that the which becomes large as c→-a. Again, the mannum poi e- 2 e- 3 here is clearly no inflection point shc1. For c1, we calculae tha

Answer 1

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