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Family of Functions Introduction
 

Family of Functions Introduction

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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/