Consider the function y=f(x) with a positive leading coefficient. Its end behavior is: \(\displaystyle{x}\to-∞\to{y}\to-∞\)

\(\displaystyle{x}\to∞\to{y}\to∞\)

Consider the function y=f(x) with a negative leading coefficient. Its end behavior is: \(\displaystyle{x}\to-∞\to{y}\to∞\)

\(\displaystyle{x}\to∞\to{y}\to-∞\)