What is end behavior?

1 Answer
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#)