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Rational and Piecewise Functions

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    Solving and Graphing Rational Functions and Piecewise Functions
  •   Study   Slideshow
  • What parent functions make up our piecewise graph?
    Linear, Quadratic, Linear
  •  15
  • What "piece" of our function should we use to find g(0) ?
    2nd Equation
  •  15
  • What is g(-5)?
    g(-5) = 4
  •  20
  • What is the LCD of our rational function?
    LCD: 4x
  •  15
  • Solve the rational function.
    x = 8/21
  •  20
  • What is the VERTICAL asymptote (hint - use the denominator)
    x = 4
  •  20
  • What is the VERTICAL asymptote (hint - use the denominator)
    x = -3
  •  20
  • What is the VERTICAL asymptote
    x = 4
  •  15
  • What is the HORIZONTAL asymptote.
    y = 2
  •  15
  • What is the VERTICAL asymptote
    x = -3
  •  15
  • What is the HORIZONTAL asymptote
    y = -5
  •  15
  • What is g(-3)?
    g(-3) = 0
  •  20
  • What is the end behavior for an EVEN degree with positive coefficient?
    Up, Up
  •  15
  • What is the end behavior for an EVEN degree with negative coefficient?
    Down, Down
  •  15
  • What is the end behavior for an ODD degree with positive coefficient?
    Down, Up
  •  15
  • What is the end behavior for an ODD degree with negative coefficient?
    Up, Down
  •  15