document.write( "Question 382069: 5(x+4)/x^2+x-12 sketch graph, identify intercept? \n" ); document.write( "

Algebra.Com's Answer #270867 by stanbon(75887) $\"\"$ $\"About$

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5(x+4)/x^2+x-12 sketch graph, identify intercept?
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\n" ); document.write( "Modify:
\n" ); document.write( "f(x) = [5(x+4)/(x+4)(x-3)]
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\n" ); document.write( "You may think that y = 0 when x = -4.
\n" ); document.write( "But f has a hole at x = -4 so there is no x-intercept.
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\n" ); document.write( "If x = 0, y = [5*4/4*-3] = 20/-12 = -5/3
\n" ); document.write( "so there is a y-intercept at y = -5/3
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\n" ); document.write( "Note that there is a vertical asymptote at x = 3
\n" ); document.write( "Note that the horizontal asymptote is y = 0
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\n" ); document.write( "Sketch:
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%28x%2B4%29%2F%28%28x%2B4%29%28x-3%29%29%29%29\"$
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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