SOLUTION: Find vertical & horizontal asymptote and x- and y-intercepts of function: {{{f(x) = (x+28)/(x-7)}}} Please explain how to solve. Thank you

Algebra ->  Functions -> SOLUTION: Find vertical & horizontal asymptote and x- and y-intercepts of function: {{{f(x) = (x+28)/(x-7)}}} Please explain how to solve. Thank you      Log On


   

Question 910307: Find vertical & horizontal asymptote and x- and y-intercepts of function:
f%28x%29+=+%28x%2B28%29%2F%28x-7%29

Please explain how to solve. Thank you
Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
vertical asymptote: x = 7 (check out the Denominator: x ≠ 7)
horizontal asymptote: y = 1 (check out %281%2B%2828%2Fx%29%29%2F%281+-+%287%2Fx%29%29 as x gets VERY LARGE)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical asymptotes occur when the denominator equals zero.
x-7=0
x=7
Horizontal asymptotes occur in the limit as x goes to infinity.

So a horizontal asymptote occurs at y=1
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