Presentation on theme: "Objectives: Find the domain of a Rational Function Determine the Vertical Asymptotes of a Rational Function Determine the Horizontal or Oblique Asymptotes."— Presentation transcript:
Objectives: Find the domain of a Rational Function Determine the Vertical Asymptotes of a Rational Function Determine the Horizontal or Oblique Asymptotes of a Rational Function
A quotient of polynomial functions where are polynomial functions and. The domain is the set of all real numbers except those for which the denominator is 0. EX: Find the domain of each rational function 1.2. 3.
A graph will never intersect a vertical asymptote but may intersect a horizontal or oblique. Locating Asymptotes: Vertical: factor the numerator and denominator, cancel out the common factors and find the zeros of the denominator The degree of the numerator is n and the degree of the denominator is m. 1. If, the x-axis or is the horizontal asymptote 2. If, the line the horizontal asymptote 3. If, the lineis the oblique asymptote 4. If, the graph has no horizontal or oblique asymptote The graph of a rational function either has one horizontal or one oblique asymptote or else has no horizontal and no oblique asymptote