SOLUTION: how do I graph this? I take Insight school online, so don't have a book title. y= x / x-12 I'm a little confused about asymptotes and holes and want to make sure i'm doing it

Algebra ->  Graphs -> SOLUTION: how do I graph this? I take Insight school online, so don't have a book title. y= x / x-12 I'm a little confused about asymptotes and holes and want to make sure i'm doing it      Log On


   



Question 186594: how do I graph this? I take Insight school online, so don't have a book title.
y= x / x-12 I'm a little confused about asymptotes and holes and want to make sure i'm doing it right. thank-you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y = x / (x-12) I'm a little confused about asymptotes and holes and want to make sure i'm doing it right. thank-you
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Your problem has an asymptote at x = 12 becuase x=12 would put
a zero in the denominator and not in the numerator.
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Example of a "hole"
y = [(x+1)(x-12)/(x-12)
This function has a "hold" at x=12 because x=12 would put
a zero in the denominator and ALSO in the numerator.
The graph of this function would look like the line y = x+1 but
it would have a "hold" at x=12
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Graph:
graph%28400%2C300%2C-10%2C20%2C-40%2C40%2Cx%2F%28x-12%29%29
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Cheers,
Stan H.