Question #599d0

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Question #599d0

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Answer 1 · 2016-10-31T19:02:13

End behavior is the behavior of the graph in $y$ $y$ as $x \to - \infty$ $xrarr-oo$ and as $x \to \infty$ $xrarroo$ .

Explanation:

A good example of end behavior is polynomials.

Even functions with a positive leading coefficient
As $x \to - \infty$ $xrarr-oo$ , $y \to + \infty$ $yrarr+oo$
As $x \to + \infty$ $xrarr+oo$ , $y \to + \infty$ $yrarr+oo$

Even functions with a negative leading coefficient
As $x \to - \infty$ $xrarr-oo$ , $y \to - \infty$ $yrarr-oo$
As $x \to + \infty$ $xrarr +oo$ , $y \to - \infty$ $yrarr-oo$

Odd functions with a positive leading coefficient
As $x \to - \infty$ $xrarr-oo$ , $y \to - \infty$ $yrarr-oo$
As $x \to + \infty$ $xrarr+oo$ , $y \to = \infty$ $yrarr=oo$

Odd function with a negative leading coefficient
As $x \to - \infty$ $xrarr-oo$ , $y \to + \infty$ $yrarr+oo$
As $x \to + \infty$ $xrarr+oo$ , $y \to - \infty$ $yrarr-oo$

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Question #599d0

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