Introduction to Family of Functions<br />
Linear Functions<br />Parent Function<br />𝑓π‘₯=π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All Real Numbers<br />Β <...
Linear Functions<br />Graph<br />
Linear Functions<br />Real Life Uses<br />Distance vs. Time<br />Slope (pitch) of a Roof<br />Equal Weekly Deposits<br />L...
Power Functions<br />Parent Function<br />𝑓π‘₯=Β π‘₯2Β π‘Žπ‘›π‘‘Β π‘“π‘₯=Β π‘₯3<br />Domain<br />	All Real Numbers<br />Range<br />	All Real N...
Power Functions<br />Graph<br />𝑓π‘₯=π‘₯2<br />Β <br />𝑓π‘₯=π‘₯3<br />Β <br />
Power Functions<br />Real Life Uses<br />Falling Objects<br />Volume<br />Area<br />Microsoft Clip Art<br />
Absolute Value Functions<br />Parent Function<br />𝑓π‘₯=Β π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All PositiveRea...
Absolute Value Functions<br />Graph<br />
Absolute Value Functions<br />Real Life Uses<br />Currency Exchange<br />Real Time vs. Distance<br />EpSos.de, Internation...
Square Root Function<br />Parent Function<br />𝑓π‘₯=Β π‘₯<br />Domain<br />All Positive Real Numbers<br />Range<br />All Positi...
Square Root Function<br />Graph<br />
Square Root Function<br />Real Life Uses<br />Fly Ball from Behind Home Plate<br />Power Factor<br />Electrical Load<br />...
Exponential Functions<br />Parent Function<br />𝑓π‘₯=Β 2π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All Positive Real...
Exponential Functions<br />Graph<br />
Exponential Functions<br />Real Life Uses<br />Compound Interest<br />Radioactive Decay<br />Images_of_Money, Piggy Bank w...
Rational Functions<br />Parent Function<br />𝑓π‘₯=Β 1π‘₯<br />Domain<br />All Real Numbers such that the denominator does NOT e...
Rational Functions<br />Graph<br />
Rational Functions	<br />Real Life Uses<br />Lighthouse Beam<br />Pressure of a Compressed Gas<br />Thew.g, Tanks, August ...
Logarithmic Functions<br />Parent Function<br />𝑓π‘₯=logπ‘₯<br />Domain<br />All Positive Real Numbers<br />Range<br />All Rea...
Logarithmic Functions<br />Graph<br />
Logarithmic Functions<br />Real Life Uses<br />Richter Scale<br />Measurement of Sound<br />Instructional Resources Corpor...
 References<br />Discovery Education.Β (2005).A seismograph, which records earthquakes. [Image]. Available from http://www....
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Family of Functions Introduction

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Family of Functions Introduction

  1. 1. Introduction to Family of Functions<br />
  2. 2. Linear Functions<br />Parent Function<br />𝑓π‘₯=π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All Real Numbers<br />Β <br />
  3. 3. Linear Functions<br />Graph<br />
  4. 4. Linear Functions<br />Real Life Uses<br />Distance vs. Time<br />Slope (pitch) of a Roof<br />Equal Weekly Deposits<br />Leo Reynolds, Roofline, October 24, 2006 via Flickr, Creative Commons Attribution, Noncommercial & Share Alike<br />
  5. 5. Power Functions<br />Parent Function<br />𝑓π‘₯=Β π‘₯2Β π‘Žπ‘›π‘‘Β π‘“π‘₯=Β π‘₯3<br />Domain<br /> All Real Numbers<br />Range<br /> All Real Numbers<br />Β <br />
  6. 6. Power Functions<br />Graph<br />𝑓π‘₯=π‘₯2<br />Β <br />𝑓π‘₯=π‘₯3<br />Β <br />
  7. 7. Power Functions<br />Real Life Uses<br />Falling Objects<br />Volume<br />Area<br />Microsoft Clip Art<br />
  8. 8. Absolute Value Functions<br />Parent Function<br />𝑓π‘₯=Β π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All PositiveReal Numbers<br />Β <br />
  9. 9. Absolute Value Functions<br />Graph<br />
  10. 10. Absolute Value Functions<br />Real Life Uses<br />Currency Exchange<br />Real Time vs. Distance<br />EpSos.de, International Money Pile in Cash and Coins, January 14, 2011 via Flickr, Creative Commons Attribution<br />
  11. 11. Square Root Function<br />Parent Function<br />𝑓π‘₯=Β π‘₯<br />Domain<br />All Positive Real Numbers<br />Range<br />All Positive Real Numbers<br />Β <br />
  12. 12. Square Root Function<br />Graph<br />
  13. 13. Square Root Function<br />Real Life Uses<br />Fly Ball from Behind Home Plate<br />Power Factor<br />Electrical Load<br />Microsoft Clip Art<br />
  14. 14. Exponential Functions<br />Parent Function<br />𝑓π‘₯=Β 2π‘₯<br />Domain<br />All Real Numbers<br />Range<br />All Positive Real Numbers<br />Β <br />
  15. 15. Exponential Functions<br />Graph<br />
  16. 16. Exponential Functions<br />Real Life Uses<br />Compound Interest<br />Radioactive Decay<br />Images_of_Money, Piggy Bank with Euro Notes, June 18, 2011 via Flickr, Creative Commons Attribution<br />
  17. 17. Rational Functions<br />Parent Function<br />𝑓π‘₯=Β 1π‘₯<br />Domain<br />All Real Numbers such that the denominator does NOT equal zero<br />Range<br />All Real Numbers<br />Β <br />
  18. 18. Rational Functions<br />Graph<br />
  19. 19. Rational Functions <br />Real Life Uses<br />Lighthouse Beam<br />Pressure of a Compressed Gas<br />Thew.g, Tanks, August 4, 2007 via Flickr, Creative Commons Attribution, Noncommercial & Share Alike<br />
  20. 20. Logarithmic Functions<br />Parent Function<br />𝑓π‘₯=logπ‘₯<br />Domain<br />All Positive Real Numbers<br />Range<br />All Real Numbers<br />Β <br />
  21. 21. Logarithmic Functions<br />Graph<br />
  22. 22. Logarithmic Functions<br />Real Life Uses<br />Richter Scale<br />Measurement of Sound<br />Instructional Resources Corporation, Seismograph, 2005 via Discovery Education<br />
  23. 23. References<br />Discovery Education.Β (2005).A seismograph, which records earthquakes. [Image]. Available from http://www.discoveryeducation.com/<br />epSos.de. (Photographer). (2011). Money piles in cash. [Web]. Retrieved from http://www.flickr.com/photos/epsos/5394616925/<br />Holt. (n.d.). Online graphing calculator. Retrieved from http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html<br />Images of Money. (Photographer). (2011). Piggy bank with euro notes. [Web]. Retrieved from http://www.flickr.com/photos/59937401@N07/5857148161<br />Reynolds, L. (Photographer). (2006). Roofline. [Web]. Retrieved from http://www.flickr.com/photos/lwr/278430898/<br />Thew, G. (Photographer). (2007). Tanks. [Web]. Retrieved from http://www.flickr.com/photos/sophmattgunner/1069308265/<br />

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