Question

What is the end behavior of `y = 3x^4 + 6x^3 - x^2 + 12`?

Answer 1

I usually hear this called the asymptotic behavior. Big word, sounds smarter.

We have a leading term `3x^4` with a positive coefficient times an even power of `x`. So as `x to -infty` or `x to +infty` we get `y to +infty.`