Polynomials and power functions

Question

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

Answer 1

The end behavior is determined by what happens to the highest power term in the expression which in this example is 4x^3

As x becomes more and more + the function approaches +infinity

As x becomes more and more negative the function approaches -infinity since a negative number cubed is negative