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OpenStudy (jennyrlz):
Use graphs and tables to find the limit and identify any vertical asymptotes of
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OpenStudy (jennyrlz):
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OpenStudy (jennyrlz):
@amistre64
OpenStudy (amistre64):
see, its a different function altogether than the last one.
OpenStudy (jennyrlz):
yea
OpenStudy (amistre64):
a vertical asymptote is defined to be what?
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OpenStudy (jennyrlz):
doesnt it apply to like the 0s of a rational function
OpenStudy (amistre64):
non removable 0s of the denominator sure
OpenStudy (jennyrlz):
ok
OpenStudy (jennyrlz):
so then would it be 4?
OpenStudy (amistre64):
once we factor out ALL of the common factors top to bottom, whats left on the bottom defines our vertasmptote
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OpenStudy (amistre64):
\[\frac1{x-4}\]
it should be simple to see that this has no common factors, and so when x-4 = 0 we have a vertical asymptote yes
OpenStudy (amistre64):
but this is not approached using tables and graphs is it?
OpenStudy (jennyrlz):
no
OpenStudy (amistre64):
we still have to define a limit :)
graph it
OpenStudy (jennyrlz):
hmm i am sorry but i dont really know how to graph this :/
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OpenStudy (amistre64):
plot points .... is the most basic way to do it
OpenStudy (amistre64):
make a table of values ... another basic approach
OpenStudy (amistre64):
memorizing parent function .. a more advanced approach
OpenStudy (jennyrlz):
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