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Mathematics 13 Online
OpenStudy (hhopke):

What is the horizontal asymptote of the following function?

OpenStudy (hhopke):

\[\frac{ -3x+6 }{ -x+4 }\]

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

the degree of the top and bottom are the same right (they are both 1)

OpenStudy (hhopke):

How?

OpenStudy (misty1212):

the horizontal asymptote will be the ratio of the leading coefficients

OpenStudy (hhopke):

How are the degree the same?

OpenStudy (misty1212):

what is the degree of \(-3x+6\)?

OpenStudy (hhopke):

No idea...

OpenStudy (misty1212):

do you know what i mean by "degree" ' or the degree of any polynomial?

OpenStudy (hhopke):

No...

OpenStudy (misty1212):

like \[y=x^3+2x-1\] has degree 3

OpenStudy (misty1212):

highest exponent

OpenStudy (hhopke):

Okay... I think I get it.

OpenStudy (hhopke):

So would the answer to the problem be 3/1?

OpenStudy (misty1212):

yes, well actually it is a horizontal line, so \(y=3\)

OpenStudy (hhopke):

Thank you!!! :)

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