Question

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

Answer 1

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`.