Find the Vertical Asymptotes and Holes of Rational Functions: 3 Examples

The steps for finding the vertical asymptotes and holes of rational functions are: 1) Factor the numerator and the denominator of the rational function. 2) If c is a zero of a factor of the denominator that cancels, there is a hole in the graph when x=c. 3) If c is a zero of a factor of the denominator that does not cancel, the graph of the rational function has a vertical asymptote when x=c. The following three examples are analyzed. a) f(x)=(x^2-25)/(x^2+3x+2) b) f(x)=(x^2-4x)/(x^2-7x+12) c) f(x)=(3x-2)/(x^2+1)

Timestamps:
0:00 Steps
0:50 EX f(x)=(x^2-25)/(x^2+3x+2)
3:25 EX f(x)=(x^2-4x)/(x^2-7x+12)
6:00 EX f(x)=(3x-2)/(x^2+1)