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Family of Functions Introduction Family of Functions Introduction Presentation Transcript

  • Introduction to Family of Functions
  • Linear Functions
    Parent Function
    ๐‘“๐‘ฅ=๐‘ฅ
    Domain
    All Real Numbers
    Range
    All Real Numbers
    ย 
  • Linear Functions
    Graph
  • Linear Functions
    Real Life Uses
    Distance vs. Time
    Slope (pitch) of a Roof
    Equal Weekly Deposits
    Leo Reynolds, Roofline, October 24, 2006 via Flickr, Creative Commons Attribution, Noncommercial & Share Alike
  • Power Functions
    Parent Function
    ๐‘“๐‘ฅ=ย ๐‘ฅ2ย ๐‘Ž๐‘›๐‘‘ย ๐‘“๐‘ฅ=ย ๐‘ฅ3
    Domain
    All Real Numbers
    Range
    All Real Numbers
    ย 
  • Power Functions
    Graph
    ๐‘“๐‘ฅ=๐‘ฅ2
    ย 
    ๐‘“๐‘ฅ=๐‘ฅ3
    ย 
  • Power Functions
    Real Life Uses
    Falling Objects
    Volume
    Area
    Microsoft Clip Art
  • Absolute Value Functions
    Parent Function
    ๐‘“๐‘ฅ=ย ๐‘ฅ
    Domain
    All Real Numbers
    Range
    All PositiveReal Numbers
    ย 
  • Absolute Value Functions
    Graph
  • Absolute Value Functions
    Real Life Uses
    Currency Exchange
    Real Time vs. Distance
    EpSos.de, International Money Pile in Cash and Coins, January 14, 2011 via Flickr, Creative Commons Attribution
  • Square Root Function
    Parent Function
    ๐‘“๐‘ฅ=ย ๐‘ฅ
    Domain
    All Positive Real Numbers
    Range
    All Positive Real Numbers
    ย 
  • Square Root Function
    Graph
  • Square Root Function
    Real Life Uses
    Fly Ball from Behind Home Plate
    Power Factor
    Electrical Load
    Microsoft Clip Art
  • Exponential Functions
    Parent Function
    ๐‘“๐‘ฅ=ย 2๐‘ฅ
    Domain
    All Real Numbers
    Range
    All Positive Real Numbers
    ย 
  • Exponential Functions
    Graph
  • Exponential Functions
    Real Life Uses
    Compound Interest
    Radioactive Decay
    Images_of_Money, Piggy Bank with Euro Notes, June 18, 2011 via Flickr, Creative Commons Attribution
  • Rational Functions
    Parent Function
    ๐‘“๐‘ฅ=ย 1๐‘ฅ
    Domain
    All Real Numbers such that the denominator does NOT equal zero
    Range
    All Real Numbers
    ย 
  • Rational Functions
    Graph
  • Rational Functions
    Real Life Uses
    Lighthouse Beam
    Pressure of a Compressed Gas
    Thew.g, Tanks, August 4, 2007 via Flickr, Creative Commons Attribution, Noncommercial & Share Alike
  • Logarithmic Functions
    Parent Function
    ๐‘“๐‘ฅ=log๐‘ฅ
    Domain
    All Positive Real Numbers
    Range
    All Real Numbers
    ย 
  • Logarithmic Functions
    Graph
  • Logarithmic Functions
    Real Life Uses
    Richter Scale
    Measurement of Sound
    Instructional Resources Corporation, Seismograph, 2005 via Discovery Education
  • References
    Discovery Education.ย (2005).A seismograph, which records earthquakes. [Image]. Available from http://www.discoveryeducation.com/
    epSos.de. (Photographer). (2011). Money piles in cash. [Web]. Retrieved from http://www.flickr.com/photos/epsos/5394616925/
    Holt. (n.d.). Online graphing calculator. Retrieved from http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
    Images of Money. (Photographer). (2011). Piggy bank with euro notes. [Web]. Retrieved from http://www.flickr.com/photos/59937401@N07/5857148161
    Reynolds, L. (Photographer). (2006). Roofline. [Web]. Retrieved from http://www.flickr.com/photos/lwr/278430898/
    Thew, G. (Photographer). (2007). Tanks. [Web]. Retrieved from http://www.flickr.com/photos/sophmattgunner/1069308265/