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A28 1 exp growth slides
 

A28 1 exp growth slides

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

    • Exponential Growth
      Algebra 2
      8.1
      p. 465
      • What is a function?
      • What types of functions have we learned so far?
      Review
    • An exponential function involves the expression bx.
    • An exponential function involves the expression bx.
      The base (b) is a positive number other than 1.
    • Graphing Exponential Functions
    • Plug in x.
      Plot each point (x, f(x)).
      Graphing Exponential Functions
    • Plug in x.
      Plot each point (x, f(x)).
      Graphing Exponential Functions
    • Plug in x.
      Plot each point (x, f(x)).
      Graphing Exponential Functions
    • Graphing Exponential Functions
    • Graphing Calculator Comparisons
    • Graph y = a2x, which has a y-intercept at (0, a).
      y = abx-h + k
    • Graph y = a2x, which has a y-intercept at (0, a).
      Shift the graph vertically kspaces.
      y = abx-h + k
    • 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
    • When something increases by a fixed percent each year (or time period), it can be modeled by the equation:
      Exponential Growth
      • a is the initial amount
      Exponential Growth
      • a is the initial amount
      • r is the interest rate
      Exponential Growth
      • a is the initial amount
      • r is the interest rate
      • t is the time
      Exponential Growth