The function has a vertical asymptote of x=2 The function has a removable discontinuity of x=2 The function has a horizontal asymptote of y= 0 No x intercept Yintercept is (0,0.5) End Behavior f(x) > 0, x? oo f(x) ? 0, x ? oo
What is the rational function? Please help!!
( ‘oo’ is infinity btw)
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1 answer

come on, just follow the steps:
vertical asymptote of x=2
y = 1/(x2)
removable discontinuity of x=2
y = (x+2)/((x2)(x+2))
horizontal asymptote of y= 0
no adjustment needed, since the degree below is greater than that above
No x intercept
still no adjustment needed, since everywhere except x = 2, y = 1/(x2), which has no xintercept.
yintercept is (0,0.5)
(x+2)/((x2)(x+2)) = 2/4 = 0.5 at x=0, so we are done.
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