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Rational and Piecewise Functions

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  • What is g(-3)?
    g(-3) = 0
  • What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
    y = 3 (Degree Top = Degree Bottom)
  • What is the HORIZONTAL asymptote.
    y = 2
  • What is the end behavior for an EVEN degree with negative coefficient?
    Down, Down
  • What parent functions make up our piecewise graph?
    Linear, Quadratic, Linear
  • What is the VERTICAL asymptote
    x = -3
  • What is the VERTICAL asymptote
    x = 4
  • What is the VERTICAL asymptote (hint - use the denominator)
    x = 4
  • What is g(-5)?
    g(-5) = 4
  • What is the VERTICAL asymptote? (hint - use the denominator)
    x = -2
  • What "piece" of our function should we use to find g(0) ?
    2nd Equation
  • What is the VERTICAL asymptote (hint - use the denominator)
    x = -3
  • What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
    None (Degree Top > Degree Bottom)
  • What is the end behavior for an ODD degree with negative coefficient?
    Up, Down
  • What is the HORIZONTAL asymptote? (hint - use the degrees of top and bottom)
    y = 0 (Degree Bottom > Degree Top)
  • What is the end behavior for an EVEN degree with positive coefficient?
    Up, Up
  • What is the end behavior for an ODD degree with positive coefficient?
    Down, Up
  • Solve the rational function.
    x = 8/21
  • What is the VERTICAL asymptote? (hint - use the denominator)
    x = 1
  • What is the LCD of our rational function?
    LCD: 4x
  • What is the HORIZONTAL asymptote
    y = -5