Similar GraphsDate: 12/11/95 at 18:35:57 From: Anonymous Subject: Graphing Equations Dr. Math I am a junior in high school. I'm studying for my semester exam, but I need some help. How would you describe how the two graphs of y = one over the square root of x squared and y = one over the square root of x squared minus 4 are similar and dissimilar? Most importantly, why does the second graph look as it looks? Thanks for your help. - Billy Feger Date: 6/13/96 at 20:32:31 From: Doctor Jim Subject: Re: Graphing Equations The graphs should look pretty much the same except the asymptote for the first one is the y-axis, because when x=0 the function is undefined, and for the second one the asymptotes are at 2 and -2, which again makes the denominator 0, so the function is undefined. Also, note that for numbers between -2 and 2 the argument of the radical is negative, so there are no real values of y, which is why there are no points graphed. -Doctor Jim, The Math Forum |
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