SOLUTION: Good evening, I'm trying to find the y-intercept of the following: {{{y=(x^2-49)/(x-7)}}} I found the vertical asymptote of 7 and there is no horizontal asymptote. I calcu

Question 369304: Good evening, I'm trying to find the y-intercept of the following:

I found the vertical asymptote of 7 and there is no horizontal asymptote.
I calculated a y-intercept of 7 and I don't believe this is true based on the graph. Could you please help me find this?
Thanks!
Found 3 solutions by robertb, Alan3354, mananth:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
The domain of the function is the set of all real numbers except x = 7. (Why?) Operating only within the domain enables us to make an important cancellation: , x not equal to 7. The graph of this function is a straight line WITH A HOLE at the point (7,14), and y-intercept at 7. (So there is NO vertical asymtote!)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's 7

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

..
(x-7) cancel off
y = x+7
this is a straight line graph
with intercepts (7,0)(0,-7)

there is no asymptote
..
m.ananth@hotmail.ca

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