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What is end behavior?

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Sep 10, 2015

"end behavior" (when applied to a function) is the nature of the value as the function argument approaches $+oo$ and $-oo$

Explanation:

For example:

[1] The end behavior of $f(x)=x^2$
is $f(x)rarr +oo$ (as $xrarr+-oo$ )

[2] The end behavior of $g(x) = 1/x+27$
is $g(x)rarr 27$ (as $xrarr+-oo$ )

[3] The end behavior of $h(x) = x^3$
is $h(x)rarr +oo" as "xrarr+oo$
and $h(x)rarr-oo" as "xrarr-oo$

[4]The end behavior of $i(x) = cos(x)$
is $i(x)$ oscillates between $+1$ and $-1$ (as $xrarr+-oo$ )

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