What is the end behavior of the function $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ ?

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Answer 1 · 2015-03-02T11:27:01

The answer is: $f rarr+oo$ when $xrarr+-oo$ .

If we do the two limits for $xrarr+-oo$ , the results are both $+oo$ , because the power that leads is $3x^4$ , and

$3*(+-oo)^4=+oo$ .

What is the end behavior of the function f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5?