SOLUTION: Sketch the polynomial and identify all intercepts, zeros, and asymptotes: P(x)=(x^2+x+2)/2x-1 Thanks in advance!

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Sketch the polynomial and identify all intercepts, zeros, and asymptotes: P(x)=(x^2+x+2)/2x-1 Thanks in advance!      Log On

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Question 125369: Sketch the polynomial and identify all intercepts, zeros, and asymptotes:
P(x)=(x^2+x+2)/2x-1
Thanks in advance!
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the polynomial and identify all intercepts, zeros, and asymptotes:
P(x)=(x^2+x+2)/(2x-1)
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Vertical asymptote: x=1/2
Horizontal asymptote: x^2/0x^2 = undefined; no horizontal asymptote.
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y-intercept: Let x=0; y = -2
x-intercept: let y=0; x^2+x+2=0 ; there are no Real Number solutions; no x-intercepts.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%5E2%2Bx%2B2%29%2F%282x-1%29%29
Cheers,
Stan H.