Create a rational function with the following characteristics: three real zeros, one of multiplicity 2; y-intercept 1;
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Create a rational function with the following characteristics: three real zeros, one of multiplicity 2; y-intercept 1; vertical asymptotes, x = -2 and x = 3; oblique asymptote, y = 2x + 1. Is this rational function unique? Compare your function with those of other students. What will be the same as everyone else's? Add some more characteristics, such as symmetry or naming the real zeros. How does this modify the rational function?
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