SlideShare a Scribd company logo
1 of 28
Exponential Functionsand the number e Precalculus 11-2 and 11-3 p. 704
Calculator Graph y = bx b = 0.5 b = 0.75 b = 2 b  = 5
Calculator Graph y = 4x y = 4x + 2 y = 4x – 3
Compare All the graphs are continuous, increasing, and one-to-one.
Compare All the graphs are continuous, increasing, and one-to-one. The y-intercept and horizontal asymptotes for each graph are different.
Compare All the graphs are continuous, increasing, and one-to-one. The y-intercept and horizontal asymptotes for each graph are different. Only one graph has an x-intercept
Exponential Growth or Decay
N is the final amount Exponential Growth or Decay
N is the final amount Exponential Growth or Decay N0 is the initial amount
N is the final amount Exponential Growth or Decay N0 is the initial amount r is the rate of growth or decay per time period
N is the final amount Exponential Growth or Decay N0 is the initial amount r is the rate of growth or decay per time period t is the number of time periods
Compound Interest
A is the final amount Compound Interest
A is the final amount Compound Interest P is the principal or initial investment
A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate
A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate n is the number of times interest is paid
A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate n is the number of times interest is paid t is the number of years
The Number e
The Number e e is not a variable.
The Number e e is not a variable. e is a constant like π.
The Number e e is not a variable. e is a constant like π.
The Number e e is not a variable. e is a constant like π.

More Related Content

More from vhiggins1

A1 12 scatter plots
A1 12 scatter plotsA1 12 scatter plots
A1 12 scatter plotsvhiggins1
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functionsvhiggins1
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functionsvhiggins1
 
A2 Test 3 with answers 2011
A2 Test 3 with answers 2011A2 Test 3 with answers 2011
A2 Test 3 with answers 2011vhiggins1
 
A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answersvhiggins1
 
PC Test 2 study guide 2011
PC Test 2 study guide 2011PC Test 2 study guide 2011
PC Test 2 study guide 2011vhiggins1
 
A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)vhiggins1
 
A2 Test 2 study guide with answers
A2 Test 2 study guide with answersA2 Test 2 study guide with answers
A2 Test 2 study guide with answersvhiggins1
 
A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011vhiggins1
 
A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guidevhiggins1
 
PCExam 1 practice with answers
PCExam 1 practice with answersPCExam 1 practice with answers
PCExam 1 practice with answersvhiggins1
 
PCExam 1 study guide answers
PCExam 1 study guide answersPCExam 1 study guide answers
PCExam 1 study guide answersvhiggins1
 
PC Exam 1 study guide
PC Exam 1 study guidePC Exam 1 study guide
PC Exam 1 study guidevhiggins1
 
PC 1 continuity notes
PC 1 continuity notesPC 1 continuity notes
PC 1 continuity notesvhiggins1
 
PC 1 continuity
PC 1 continuityPC 1 continuity
PC 1 continuityvhiggins1
 
A1 3 linear fxns
A1 3 linear fxnsA1 3 linear fxns
A1 3 linear fxnsvhiggins1
 
A1 3 linear fxns notes
A1 3 linear fxns notesA1 3 linear fxns notes
A1 3 linear fxns notesvhiggins1
 
A1 2 linear fxns
A1 2 linear fxnsA1 2 linear fxns
A1 2 linear fxnsvhiggins1
 
A1 2 linear fxns notes
A1 2 linear fxns notesA1 2 linear fxns notes
A1 2 linear fxns notesvhiggins1
 
A2 2 linear fxns notes
A2 2 linear fxns notesA2 2 linear fxns notes
A2 2 linear fxns notesvhiggins1
 

More from vhiggins1 (20)

A1 12 scatter plots
A1 12 scatter plotsA1 12 scatter plots
A1 12 scatter plots
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
 
A2 Test 3 with answers 2011
A2 Test 3 with answers 2011A2 Test 3 with answers 2011
A2 Test 3 with answers 2011
 
A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answers
 
PC Test 2 study guide 2011
PC Test 2 study guide 2011PC Test 2 study guide 2011
PC Test 2 study guide 2011
 
A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)
 
A2 Test 2 study guide with answers
A2 Test 2 study guide with answersA2 Test 2 study guide with answers
A2 Test 2 study guide with answers
 
A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011
 
A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guide
 
PCExam 1 practice with answers
PCExam 1 practice with answersPCExam 1 practice with answers
PCExam 1 practice with answers
 
PCExam 1 study guide answers
PCExam 1 study guide answersPCExam 1 study guide answers
PCExam 1 study guide answers
 
PC Exam 1 study guide
PC Exam 1 study guidePC Exam 1 study guide
PC Exam 1 study guide
 
PC 1 continuity notes
PC 1 continuity notesPC 1 continuity notes
PC 1 continuity notes
 
PC 1 continuity
PC 1 continuityPC 1 continuity
PC 1 continuity
 
A1 3 linear fxns
A1 3 linear fxnsA1 3 linear fxns
A1 3 linear fxns
 
A1 3 linear fxns notes
A1 3 linear fxns notesA1 3 linear fxns notes
A1 3 linear fxns notes
 
A1 2 linear fxns
A1 2 linear fxnsA1 2 linear fxns
A1 2 linear fxns
 
A1 2 linear fxns notes
A1 2 linear fxns notesA1 2 linear fxns notes
A1 2 linear fxns notes
 
A2 2 linear fxns notes
A2 2 linear fxns notesA2 2 linear fxns notes
A2 2 linear fxns notes
 

Pc11-2&11-3 exponential fxns & e

  • 1. Exponential Functionsand the number e Precalculus 11-2 and 11-3 p. 704
  • 2. Calculator Graph y = bx b = 0.5 b = 0.75 b = 2 b = 5
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Calculator Graph y = 4x y = 4x + 2 y = 4x – 3
  • 10. Compare All the graphs are continuous, increasing, and one-to-one.
  • 11. Compare All the graphs are continuous, increasing, and one-to-one. The y-intercept and horizontal asymptotes for each graph are different.
  • 12. Compare All the graphs are continuous, increasing, and one-to-one. The y-intercept and horizontal asymptotes for each graph are different. Only one graph has an x-intercept
  • 14. N is the final amount Exponential Growth or Decay
  • 15. N is the final amount Exponential Growth or Decay N0 is the initial amount
  • 16. N is the final amount Exponential Growth or Decay N0 is the initial amount r is the rate of growth or decay per time period
  • 17. N is the final amount Exponential Growth or Decay N0 is the initial amount r is the rate of growth or decay per time period t is the number of time periods
  • 19. A is the final amount Compound Interest
  • 20. A is the final amount Compound Interest P is the principal or initial investment
  • 21. A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate
  • 22. A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate n is the number of times interest is paid
  • 23. A is the final amount Compound Interest P is the principal or initial investment r is the annual interest rate n is the number of times interest is paid t is the number of years
  • 25. The Number e e is not a variable.
  • 26. The Number e e is not a variable. e is a constant like π.
  • 27. The Number e e is not a variable. e is a constant like π.
  • 28. The Number e e is not a variable. e is a constant like π.