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Section 7.1 Rational Functions Cheat Sheet = + + Parent Function:______________________ The parameters must d:__________ have don’t need e: __________ don’t need f: __________ Points for the Must have at least 4 points on each side of the vertical asymptote function:_____________________________ = − Vertical Asymptote:______________ = Horizontal Asymptote:___________ There is always a vertical and horizontal asymptote. Range: ℜ, ≠ ________________ ℜ, ≠ − Domain: ________________ Set x=0 and solve. If there is no e, then there is no y-intercept Y-intercept:_______________________________ This is the same thing as an x-intercept. You can use the trace feature on your calc to approximate Find the Set y=0 and solve. You will have to cross multiply to solve for x. Zero(s):________________________________ If there is no parameter f, there is no zero. Increasing or > 0, ℎ . (−∞, − (−, ∞ < 0, ℎ . (−∞, − (−, ∞ Decreasing:____________________________ The function is either Increasing or Decreasing. It can’t be both