What is end behavior?

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What is end behavior?

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Answer 1 · 2015-09-10T11:36:17

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

Explanation:

For example:

[1] The end behavior of $f (x) = x^{2}$ $f(x)=x^2$
is $f (x) \to + \infty$ $f(x)rarr +oo$ (as $x \to \pm \infty$ $xrarr+-oo$ )

[2] The end behavior of $g (x) = \frac{1}{x} + 27$ $g(x) = 1/x+27$
is $g (x) \to 27$ $g(x)rarr 27$ (as $x \to \pm \infty$ $xrarr+-oo$ )

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

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

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What is end behavior?

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