End behavior

The end behavior is behavior of  a graph as x tends to -infinity and x tends to +infinity.

Positive leading coefficient :  f(x) = x^2, as x tends to -infinity, f(x) tends to infinity
as x tends to +infinity, f(x) tends to infinity

f(x) = x^3, as x tends to -infinity, f(x) tends to -infinity, as x tends to infinity, f(x) tends to infinity


Negative leading coefficient:  f(x) = -x^2, as x tends to -infinity, f(x) tends to -infinity.
as x tends to +infinity, f(x) tends to infinity

f(x) = -x^3, as x tends to -infinity, f(x) tends to infinity, as x tends to infinity, f(x) tends to -infinity