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Mathematics 16 Online
OpenStudy (anonymous):

@ranga can you help with this one as well?

OpenStudy (anonymous):

OpenStudy (ranga):

Do you know synthetic division?

OpenStudy (anonymous):

somewhat..im really rusty..its been a while

OpenStudy (ranga):

(x^2 + x - 20) / (x - 6) Do synthetic division: 6 | 1 +1 - 20 | 6 42 |_________________ 1 7 22 (x^2 + x - 20) / (x - 6) = x + 7 + 22/(x-6) f(x) = x + 7 + 22/(x-6) When x gets ver large, 22/(x-6) will go to zero and the graph will approach y = x + 7. Therefore, y = x+7 is the oblique asymptote.

OpenStudy (anonymous):

is that the slant asymptote?

OpenStudy (ranga):

Yes, slant (or oblique) asymptote is y = x + 7.

OpenStudy (anonymous):

oh ok lol I got really confused for a min!

OpenStudy (anonymous):

can you determine the symmetry of the graph?

OpenStudy (ranga):

To graph it you can use a graphing calculator or an online graphing website such as: https://www.desmos.com/calculator It will look something like the following graph: |dw:1395192734253:dw|

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