You can put this solution on YOUR website! what is the graph for rational function (x^2+8x+15)/(x-5)
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(x^2+8x+15)/(x-5)
When degree of numerator is one degree higher than that of the denominator, function will have a slant or oblique asymptote: To find the equation of the slant asymptote, divide numerator by denominator using long division. You will get an answer of (x+13) +remainder of 80/(x-5).
Equation of slant asymptote: y=x+13
..
Vertical asymptotes:
set denominator=0, then solve for x
x-5=0
vertical asymptote: x=5
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number line:
(x^2+8x+15)/(x-5)=(x+5)(x+3)/(x-5)
<...-...-5....+.....-3.....-.....5.....+....>
See graph below:
sorry, vertical asymptote does not show on graph
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