If a function is a discontinuity (hole or vertical asymptote) will occur.

A function's y-intercept can be determine by .

A function's x-intercepts can be determined by .

A rational function has a horizontal asymptote of y = 0 when .

A rational function has a slant asymptote when

Respuesta :

To find y -intercept, substitute [tex]x=0[/tex] in the function.

To find x -intercept, substitute [tex]y=0[/tex] in the function.

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.

Asymptotes :

To find y -intercept, substitute [tex]x=0[/tex] in the function.

To find x -intercept, substitute [tex]y=0[/tex] in the function.

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.

  • Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
  • Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote.
  • Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Learn more about the asymptotes here:

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