Question #599d0

1 Answer
Oct 31, 2016

End behavior is the behavior of the graph in #y# as #xrarr-oo# and as #xrarroo#.

Explanation:

A good example of end behavior is polynomials.

Even functions with a positive leading coefficient
As #xrarr-oo#, #yrarr+oo#
As #xrarr+oo#, #yrarr+oo#

Even functions with a negative leading coefficient
As #xrarr-oo#, #yrarr-oo#
As #xrarr +oo#, #yrarr-oo#

Odd functions with a positive leading coefficient
As #xrarr-oo#, #yrarr-oo#
As #xrarr+oo#, #yrarr=oo#

Odd function with a negative leading coefficient
As #xrarr-oo#, #yrarr+oo#
As #xrarr+oo#, #yrarr-oo#