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# A28 1 exp growth slides

## on Mar 21, 2011

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## A28 1 exp growth slidesPresentation 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