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Directions In each problem you're given information about limits. Yourjob is to draw a function with those limits. There will be many different correct answers.

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Directions In each problem you're given information about limits. Yourjob is to draw a function with those limits. There will be many different correct answers. You need only provide one. Remember, a limit of the form mm) =00 0r - represents a vertical asymptote, and a limit of the form 1imf(x)= a represents a horizontal asymptote. lrm Dirno Example: Draw a graph of some unknown function fthat satises the following: 1imf(x) = 1, lim f(x) = 1, lirrll x) =00, 1ini1 f(x) :00. Solution: First step is to sketch in these asymptotes (lightly): Then draw a graph that swoops the right direction in the right places. For instance, here the limit an > 1 from below is +ao, so the graph must swoop upward as it heads toward that vertical asymptote from the left. Here's one answer: Your answer may look different. For one thing, no information is given about how quickly these functions start hugging their asymptotes. But your graphs should be similar to this one, and their behavior near the asymptotes should be the same

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