Suppose that a rational function is written so that there are no common factors between the numerator and denominator.

To determine the vertical asymptotes of a rational function you,

Determine the zeros of the denominator.Determine the zeros of the numerator.Evaluate that function at x$=0$x$=0.$Evaluate the numerator of the function at x$=0$x$=0.$Evaluate the denominator of the function at x$=0$x$=0.$

To determine the vertical intercept of a rational function you,

Determine the zeros of the denominator.Determine the zeros of the numerator.Evaluate that function at x$=0$x$=0.$Evaluate the numerator of the function at x$=0$x$=0.$Evaluate the denominator of the function at x$=0$x$=0.$

To determine the horizontal intercept$($s$)$ of a rational function you,

Determine the zeros of the denominator.Determine the zeros of the numerator.Evaluate that function at x$=0$x$=0.$Evaluate the numerator of the function at x$=0$x$=0.$Evaluate the denominator of the function at x$=0$x$=0.$