We are asked to graph the function y=(x^2+11x+18)/(2x+1) :
Factoring the numerator yields:
y=((x+9)(x+2))/(2x+1)
There is a vertical asymptote at x=-1/2. The x-intercepts are at -2,-9.
There is no horizontal asymptote as the degree of the numerator is greater than the degree of the denominator. The slant asymptote, found by division, is y=1/2x+21/4.
The graph:
Thursday, February 25, 2016
y=(x^2+11x+18)/(2x+1) Graph the function.
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