# algebra

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts

1. f(x)= x^2+x-2 / x^2-x-6

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1. domain: all real numbers except holes and vertical asymptotes

vertical asymptotes where the denominator is zero and the numerator is not zero

holes where the denominator and numerator are both zero

horizontal asymptotes at the x-extremes. When x gets huge, you basically have

f(x) = x^2/x^2 = 1

I'm sure you can handle the rest. Get stuck? Come on back and show how far you got.

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posted by Steve

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