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Family of Functions Introduction

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Transcript

  • 1. Introduction to Family of Functions
  • 2. Linear Functions
    Parent Function
    𝑓𝑥=𝑥
    Domain
    All Real Numbers
    Range
    All Real Numbers
     
  • 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
    𝑓𝑥= 𝑥2 𝑎𝑛𝑑 𝑓𝑥= 𝑥3
    Domain
    All Real Numbers
    Range
    All Real Numbers
     
  • 6. Power Functions
    Graph
    𝑓𝑥=𝑥2
     
    𝑓𝑥=𝑥3
     
  • 7. Power Functions
    Real Life Uses
    Falling Objects
    Volume
    Area
    Microsoft Clip Art
  • 8. Absolute Value Functions
    Parent Function
    𝑓𝑥= 𝑥
    Domain
    All Real Numbers
    Range
    All PositiveReal Numbers
     
  • 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
    𝑓𝑥= 𝑥
    Domain
    All Positive Real Numbers
    Range
    All Positive Real Numbers
     
  • 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
    𝑓𝑥= 2𝑥
    Domain
    All Real Numbers
    Range
    All Positive Real Numbers
     
  • 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
    𝑓𝑥= 1𝑥
    Domain
    All Real Numbers such that the denominator does NOT equal zero
    Range
    All Real Numbers
     
  • 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
    𝑓𝑥=log𝑥
    Domain
    All Positive Real Numbers
    Range
    All Real Numbers
     
  • 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. (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/