How do you find the vertical, horizontal or slant asymptotes for f(x) = (x+4)/(x-2) ?

1 Answer
Apr 12, 2016

x=2
y=1

Explanation:

The equation is undefined when the denominator becomes 0. Consequently the excluded value is x=2 thus there is a vertical asymptote at x=2

As the value of x increases significantly in both the positive and negative domains the influence of the constants of 4 and -2 becomes less and less significant.

Thus lim_(x to+-oo) (x+4)/(x-2)-> x/x = 1

So y=1 is an asymptote.

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