Describe the vertical asymptotes and holes for the graph of each rational function.
Problem 1 :
y = (x - 2)/(x + 2) (x - 2)
Problem 2 :
y = x/x(x - 1)
Problem 3 :
y = (5 - x)/(x2 - 1)
Problem 4 :
y = (x2 - 2)/(x + 2)
Problem 5 :
y = (x2 - 4)/(x2 + 4)
Problem 6 :
y = (x + 3)/(x2 - 9)
Problem 7 :
y = (x2 - 25)/(x – 4)
Problem 8 :
y = (x - 2) (2x + 3)/(5x + 4) (x – 3)
Problem 9 :
y = (15x2 - 7x - 2)/(x2 - 4)
1) Vertical asymptote at x = -2; hole at x = 2
2) Vertical asymptote at x = 1; hole at x = 0
3) Vertical asymptotes at x = 1 and x = -1
4) Vertical asymptote at x = -2
5) No vertical asymptotes and no holes
6) Vertical asymptote at x = 3; hole at x = -3
7) Vertical asymptote at x = 4
8) Vertical asymptotes at x = -4/5 and x = 3.
9) Vertical asymptotes at x = 2 and x = -2.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM