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Mathematics 33 Online
OpenStudy (anonymous):

how to describe vertical asymptotes and holes for the graph y= (x-2)(x+4)/(x+4)(x+5)

OpenStudy (amistre64):

holes occur at the points that the top and bottom cancel: (x+4) ----- in this case; there is a hole at x = -4 (x+4) VAs occur when you cant cancel; which in this case is x = -5

OpenStudy (anonymous):

why wouldnt the (x-2) be a asymtote?

OpenStudy (amistre64):

x-2 makes 0 up top which is perfectly acceptable; asmps and holes are were the domain is undefined

OpenStudy (amistre64):

0/# is fine #/0 is bad; #/0 is either a asymp or a hole

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