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Did I just hear you say, "What the
heck is an asymptote and why am I started
to get all sweaty and twitchy?"
Relax!
We've got that sentence:
Graphs
hug asymptotes.
What does it mean?
Let's check out one of
our old friends...
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See how the graph is getting
closer to the axes?... But, it will never touch them?
The
x
and
y
axes are asymptotes! |
Asymptotes are lines (usually invisible) in space that a graph
gets closer and closer to but never touches...
OK, so for
vertical asymptotes...
Set the
denominator =
0
and solve.
This is like finding the
bad spots in the domain. It's where the function cannot exist.
Continued on the
next
page
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