Section 7.1 Rational Functions Cheat Sheet ๐ ๐ฆ= +๐ ๐ฅ+๐ 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:_____________________________ ๐ฅ = −๐ Vertical Asymptote:______________ ๐ฆ=๐ Horizontal Asymptote:___________ There is always a vertical and horizontal asymptote. Range: ℜ, ๐ฆ ≠ ๐ ________________ ℜ, ๐ฅ ≠ −๐ 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 ๐๐ ๐ > 0, ๐กโ๐ ๐๐ข๐๐๐ก๐๐๐ ๐๐ ๐๐๐. (−∞, − ๐ (−๐, ∞ ๐๐ ๐ < 0, ๐กโ๐ ๐๐ข๐๐๐ก๐๐๐ ๐๐ ๐๐๐. (−∞, − ๐ (−๐, ∞ Decreasing:____________________________ The function is either Increasing or Decreasing. It can’t be both