Geomatry

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. Y = (x^2+x-2)/(x^2-x-6)
    Y = (x+2)(x-1)/(x+2)(x-3) = (x-1)/(x-3)

    a. Domain = All real values of X except
    3. Note: 3 gives a denominator of zero
    which makes the fraction undefined.

    f. When Y = 0,(x-1) = 0
    x-1 = 0, X = 1.
    X-Intercept = 1.

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