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Remember end-tail behavior?
What's going on with those tails?
This was called "finding limits."
One of the things math geeks get
all jazzed about in Calculus is seeing what happens when
 and
 .
We can do this with these rational
function critters, too. The key here is that horizontal (or
slant) asymptote.
Check it out:
Remember...
GRAPHS HUG
ASYMPTOTES!
As
x gets bigger and bigger (goes
to the right), our graph gets closer and closer to that
asymptote (which is
y = 2.) It
will never actually hit the asymptote ( f(x) will never =
2), it will just get closer and closer. This
is why we use the word "approaches." It's the same
story on the left when
x
is getting smaller and smaller.
Continued on the
next
page
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