pre-calculus

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R(x)=x^2+x-6
________
x-3

1. find the domain and y-intercepts
2. find the x-intercepts
3. find the real solution of the equation
4. find the horizontal or oblique asymptotes
5. find the x-axis
6. plot the points

  • pre-calculus -

    R(x) = (x^2 + x - 6)/(x-3)
    = (x+3)(x-2)/(x-3)

    1. domain: any real number, x ≠ 3
    y-intercept, let x = 0, so y = 2
    2. for x-intercepts, let y = 0
    x = -3, 2
    3. x = -3, y = 2
    4. After a synthetic division, I got
    R(x) = x+4 + 3/(x-3)
    So the oblique asymptote is y = x+4

    5. "find the x-axis" ????
    6. you have to do that.

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