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Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
Family of Functions Introduction
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Family of Functions Introduction

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Transcript

  • 1. Introduction to Family of Functions
  • 2. Linear Functions
    Parent Function
    𝑓π‘₯=π‘₯
    Domain
    All Real Numbers
    Range
    All Real Numbers
    Β 
  • 3. Linear Functions
    Graph
  • 4. 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
  • 5. Power Functions
    Parent Function
    𝑓π‘₯=Β π‘₯2Β π‘Žπ‘›π‘‘Β π‘“π‘₯=Β π‘₯3
    Domain
    All Real Numbers
    Range
    All Real Numbers
    Β 
  • 6. Power Functions
    Graph
    𝑓π‘₯=π‘₯2
    Β 
    𝑓π‘₯=π‘₯3
    Β 
  • 7. Power Functions
    Real Life Uses
    Falling Objects
    Volume
    Area
    Microsoft Clip Art
  • 8. Absolute Value Functions
    Parent Function
    𝑓π‘₯=Β π‘₯
    Domain
    All Real Numbers
    Range
    All PositiveReal Numbers
    Β 
  • 9. Absolute Value Functions
    Graph
  • 10. 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
  • 11. Square Root Function
    Parent Function
    𝑓π‘₯=Β π‘₯
    Domain
    All Positive Real Numbers
    Range
    All Positive Real Numbers
    Β 
  • 12. Square Root Function
    Graph
  • 13. Square Root Function
    Real Life Uses
    Fly Ball from Behind Home Plate
    Power Factor
    Electrical Load
    Microsoft Clip Art
  • 14. Exponential Functions
    Parent Function
    𝑓π‘₯=Β 2π‘₯
    Domain
    All Real Numbers
    Range
    All Positive Real Numbers
    Β 
  • 15. Exponential Functions
    Graph
  • 16. 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
  • 17. Rational Functions
    Parent Function
    𝑓π‘₯=Β 1π‘₯
    Domain
    All Real Numbers such that the denominator does NOT equal zero
    Range
    All Real Numbers
    Β 
  • 18. Rational Functions
    Graph
  • 19. 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
  • 20. Logarithmic Functions
    Parent Function
    𝑓π‘₯=logπ‘₯
    Domain
    All Positive Real Numbers
    Range
    All Real Numbers
    Β 
  • 21. Logarithmic Functions
    Graph
  • 22. Logarithmic Functions
    Real Life Uses
    Richter Scale
    Measurement of Sound
    Instructional Resources Corporation, Seismograph, 2005 via Discovery Education
  • 23. References
    Discovery Education.Β (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/

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