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Directions In each problem you're given information about limits. Your job is to draw a function with those limits. There will be many different correct
Directions In each problem you're given information about limits. Your job 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 llifgftx} =00 or -m represents a vertical asymptote, and a limit of the form limx) = a represents a horizontal asymptote. xm Dirno Example: Draw a graph of some unknown function [that satises the following: 1imf(x) = 1, lim f(x) = 1, 1in fx) =00, linllfor) :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 aer > 1 from below is +20, 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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