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Graphing a Rational Expression - Problem 12

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If we know key features about a graph, we can write a possible rational function for the graph. The x-value of a hole is represented by a factor that is the same on top and bottom, vertical asymptotes represent factors of the denominator that are not in the numerator, and the horizontal asymptote will tell us information about the degrees of the numerator and denominator. We can also try to use transformation rules backward to adjust the function f(x) = 1/x to fit a given graph.

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