2.2 Limits at Infinity ­ End Behavior
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2 ­ 2 Limits with Infinity (con't)
Evaluate:
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End Behavior Models
*Many times it's easier to look at the end behavior of some f(x) by examining another (less complicated) function.
For example, graph the following on [­2, 2] x [­5, 20]
Now change the viewing window to [­20, 20] x [­100,000, 500,000]
Now graph on [­2000, 2000] x [­1, 2]
Evaluate:
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Defn: A function g(x) is a right end behavior model for some f(x) iff
or a left end behavior model iff
Example: Show g(x) = x is the right end behavior model for f(x) = x + e­x.
i.e. show
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