Where are the vertical asymptotes of a rational function located?

Solution: Step1 A vertical asymptote is a place in the graph of infinite discontinuity, where the graph spikes off to positive or negative infinity. To find the vertical asymptote, set the denominator equal to zero and solve for x. Step2 Example Find the vertical asymptote(s) f(x)= 3x-1/x+5 We must set the denominator equal to 0 and solve: x + 5 = 0 x = -5 There is a vertical asymptote at x = -5