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Mathematics 13 Online
OpenStudy (anonymous):

Describe the vertical asymptote(s) and hole(s) for the graph of postin pic

OpenStudy (anonymous):

OpenStudy (nottim):

This is where the bottom half can't equal 0 right?

OpenStudy (nottim):

ello

OpenStudy (nottim):

ello again?

OpenStudy (goformit100):

is that equation the postin pic here ?

OpenStudy (nottim):

I think he spontaneously fell asleep.

OpenStudy (anonymous):

I've got this too.

OpenStudy (hunus):

There would be a hole at x = 1 because the (x-1)s cancel but x-1 would cause the function to be undefined. There would be a vertical asymptote at any value that would cause the denominator to be zero.

OpenStudy (anonymous):

So the vertical asymptotes will come from the bottom equaling zero. However, like Hunus said, the (x-1) cancels leaving a hole at x=1.

OpenStudy (nottim):

Awww...I wanted to do this one...

OpenStudy (anonymous):

The horizontal asymptote comes from the ratio of the top to the bottom at infinity. The highest-level term in X will dominate the equation (because infinity squared >>>> any finite number of infinity). Multiply out the terms to find how many x squared you have and then compare only the x squared to find the value of the horizontal asymptote. If there were a higher power of x in the numerator, this equation would blow up and not have a horizontal asymptote. If the denominator had a higher power of x, the asymptote would be at zero. Only when equal powers of x are above and below the dividing line does the ratio of the highest powers matter.

OpenStudy (anonymous):

sorry yall had the answer already :)

OpenStudy (nottim):

lol

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