A28 1 exp growth slides
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A28 1 exp growth slides Presentation Transcript

  • 1. Exponential Growth
    Algebra 2
    8.1
    p. 465
  • 2.
    • What is a function?
    • 3. What types of functions have we learned so far?
    Review
  • 4. An exponential function involves the expression bx.
  • 5. An exponential function involves the expression bx.
    The base (b) is a positive number other than 1.
  • 6. Graphing Exponential Functions
  • 7. Plug in x.
    Plot each point (x, f(x)).
    Graphing Exponential Functions
  • 8. Plug in x.
    Plot each point (x, f(x)).
    Graphing Exponential Functions
  • 9. Plug in x.
    Plot each point (x, f(x)).
    Graphing Exponential Functions
  • 10. Graphing Exponential Functions
  • 11. Graphing Calculator Comparisons
  • 12. Graph y = a2x, which has a y-intercept at (0, a).
    y = abx-h + k
  • 13. Graph y = a2x, which has a y-intercept at (0, a).
    Shift the graph vertically kspaces.
    y = abx-h + k
  • 14. Graph y = a2x, which has a y-intercept at (0, a).
    Shift the graph vertically kspaces.
    Shift the graph horizontally hspaces.
    • Note that you are moving opposite the sign in front of h.
    y = abx-h + k
  • 15. When something increases by a fixed percent each year (or time period), it can be modeled by the equation:
    Exponential Growth
  • 16.
    • a is the initial amount
    Exponential Growth
  • 17.
    • a is the initial amount
    • 18. r is the interest rate
    Exponential Growth
  • 19.
    • a is the initial amount
    • 20. r is the interest rate
    • 21. t is the time
    Exponential Growth