Question 125369
Sketch the polynomial and identify all intercepts, zeros, and asymptotes:
P(x)=(x^2+x+2)/(2x-1)
----------------------------
Vertical asymptote: x=1/2
Horizontal asymptote: x^2/0x^2 = undefined; no horizontal asymptote.
----------------------------
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.
----------------------
{{{graph(400,300,-10,10,-10,10,(x^2+x+2)/(2x-1))}}}
Cheers,
Stan H.