Exponential Functionsand the number e<br />Precalculus<br />11-2 and 11-3<br />p. 704<br />
Calculator<br />Graph y = bx<br />b = 0.5<br />b = 0.75<br />b = 2<br />b  = 5<br />
Calculator<br />Graph<br />y = 4x<br />y = 4x + 2<br />y = 4x – 3<br />
Compare<br />All the graphs are continuous, increasing, and one-to-one.<br />
Compare<br />All the graphs are continuous, increasing, and one-to-one.<br />The y-intercept and horizontal asymptotes for...
Compare<br />All the graphs are continuous, increasing, and one-to-one.<br />The y-intercept and horizontal asymptotes for...
Exponential Growth or Decay<br />
N is the final amount<br />Exponential Growth or Decay<br />
N is the final amount<br />Exponential Growth or Decay<br />N0 is the initial amount<br />
N is the final amount<br />Exponential Growth or Decay<br />N0 is the initial amount<br />r is the rate of growth or decay...
N is the final amount<br />Exponential Growth or Decay<br />N0 is the initial amount<br />r is the rate of growth or decay...
Compound Interest<br />
A is the final amount<br />Compound Interest<br />
A is the final amount<br />Compound Interest<br />P is the principal or initial investment<br />
A is the final amount<br />Compound Interest<br />P is the principal or initial investment<br />r is the annual interest r...
A is the final amount<br />Compound Interest<br />P is the principal or initial investment<br />r is the annual interest r...
A is the final amount<br />Compound Interest<br />P is the principal or initial investment<br />r is the annual interest r...
The Number e<br />
The Number e<br />e is not a variable.<br />
The Number e<br />e is not a variable.<br />e is a constant like π.<br />
The Number e<br />e is not a variable.<br />e is a constant like π.<br />
The Number e<br />e is not a variable.<br />e is a constant like π.<br />
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Pc11-2&11-3 exponential fxns & e

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Pc11-2&11-3 exponential fxns & e

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

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