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Focus F: Analysis of Rational Functions

Example 3:
  • To find the oblique asymptote, you must first find the quotient and remainder.
  • The quotient is x - 4 and the remainder is 4. Thus, the function can be rewritten as .
  • For large (absolute) values of x, the value of approaches zero.
  • The oblique asymptote is given by y = x - 4.