How do you find the end behavior of $f (x) = 3x^4 - 5x + 1$ ?

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Answer 1 · 2017-07-04T16:34:28

See the explanation below.

First, graph the function.
graph{3x^4-5x+1 [-10, 10, -5, 5]}

Based on the graph, you can see that as $x -> oo$ , $f(x) -> oo$ .
As $x->-oo$ , $f(x) -> oo$ .

You can also write this using limits:

$lim_(x->oo) f(x) = oo$

$lim_(x->-oo) f(x) = oo$

How do you find the end behavior of f (x) = 3x^4 - 5x + 1f (x) = 3x^4 - 5x + 1?