If the rational function y r x has the vertical asymptote x

If the rational function y = r (x) has the vertical asymptote x = 7, then as x rightarrow 7^+, either y rightarrow (smaller value) or y rightarrow (larger value).

Solution

y=r(x) has vertical asymptote at x =7

=>r(x) has (x-7) in the denominator

so

as x->7⁺,either y->- or y->