SOLUTION: Describe the vertical asymptote(s) and hole(s) for the graph of
y = (x - 3)(x - 1)/(x - 1)(x - 5)
A. asymptote: x = 5 and hole: x = 1
B. asymptote: x = –5 and hole: x
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Question 625809: Describe the vertical asymptote(s) and hole(s) for the graph of
y = (x - 3)(x - 1)/(x - 1)(x - 5)
A. asymptote: x = 5 and hole: x = 1
B. asymptote: x = –5 and hole: x = –1
C. asymptote: x = –3 and hole: x = 5
D. asymptote: x = 5 and hole: x = –1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Describe the vertical asymptote(s) and hole(s) for the graph of
(x-1) cancels out, leaving the graph of
The asymptote for this graph is x=5, at which point the curve is undefined.
Also a hole occurs at x=1 which means x=1 is not in the domain of y.
So you have an asymptote at x=5 and a hole at x=1
see graph below as a visual check:
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