SOLUTION: 5(x+4)/x^2+x-12 sketch graph, identify intercept?

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Question 382069: 5(x+4)/x^2+x-12 sketch graph, identify intercept?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5(x+4)/x^2+x-12 sketch graph, identify intercept?
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Modify:
f(x) = [5(x+4)/(x+4)(x-3)]
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You may think that y = 0 when x = -4.
But f has a hole at x = -4 so there is no x-intercept.
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If x = 0, y = [5*4/4*-3] = 20/-12 = -5/3
so there is a y-intercept at y = -5/3
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Note that there is a vertical asymptote at x = 3
Note that the horizontal asymptote is y = 0
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Sketch:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%28x%2B4%29%2F%28%28x%2B4%29%28x-3%29%29%29%29
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Cheers,
Stan H.