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

The answer is: $f \rightarrow + \infty$ when $x \rightarrow \pm \infty$.
If we do the two limits for $x \rightarrow \pm \infty$, the results are both $+ \infty$, because the power that leads is $3 {x}^{4}$, and
$3 \cdot {\left(\pm \infty\right)}^{4} = + \infty$.