SOLUTION: Find the intercepts, asymptotes, use limits to describe the behavior at the vertical asymptotes and analyze and draw the graph of f(x)=(x+1)/(x^2-3x-10)

Question 295155: Find the intercepts, asymptotes, use limits to describe the behavior at the vertical asymptotes and analyze and draw the graph of f(x)=(x+1)/(x^2-3x-10)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the y-intercept, set x=0 and solve for y.

(0,-1/10)
To find the x-intercept, set y=0 and solve for x.

(-1,0)
To find vertical asymptotes, look for x where the denominator goes to zero.

Two solutions:

.
.
.

To find horizontal asymptotes, divide all terms by the highest order of x.

Now take the limit as x goes to .

So there is a horizontal asymptote at y=0.
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.
.

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