Important Notes on Rational Function
- A rational function equation is of the form f(x) = P(x) / Q(x), where Q(x) ≠ 0.
- Every rational function has at least one vertical asymptote.
- Every rational function has at most one horizontal asymptote.
- Every rational function has at most one slant asymptote.
- The excluded values of the domain of a rational function help to identify the VAs.
- The excluded values of the range of a rational function help to identify the HAs.
- The linear factors that get canceled when a rational function is simplified would give us the holes.
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