Front

*Front:* Definition of Rational Function

Back

function that is the ratio of two polynomials.

Front

*Front:* Example of Rational Function

Back

latex="f(x) = \frac{x^2 + 1}{x - 3}">

Front

*Front:* Non-Example of Rational Function

Back

latex="f(x) = \sqrt{x} + 2">

Front

*Front:* Domain of Rational Function

Back

real numbers except where the denominator is zero.

Front

*Front:* Vertical Asymptote

Back

where the denominator is zero and the numerator is not zero.

Front

*Front:* Horizontal Asymptote

Back

by the degrees of the numerator and denominator.

Front

*Front:* Degree of Numerator > Degree of Denominator

Back

horizontal asymptote; slant asymptote may exist.

Front

*Front:* Degree of Numerator = Degree of Denominator

Back

Front

*Front:* Degree of Numerator < Degree of Denominator

Back

Front

*Front:* Hole in Graph

Back

where both numerator and denominator are zero.