How do you describe the end behavior for #f(x)=x^4-3x^2-3x+4#?

1 Answer
AA_123
Apr 18, 2017

As #x->oo, f(x)->oo#
As #x->-oo, f(x)->oo#

Explanation:

When working with end behavior, look at the leading term (term with highest exponent) and neglect all other terms, in this case #x^4# is the leading term.

If #x# is a very large positive number (#oo#), #x^4# will be a very large positive number (#oo#) also, and if #x# is a very-large-in-magnitude negative number (#-oo#), #x^4# will be a large "positive" number (#oo#) because of the even power "#4#".

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