1. 18A, 18B, 18C, 18D Exponential Growth and Decay Models
Unit 4: Mathematical Models
18A, 18B, 18C, 18D
5/1/ :24 PM

2. Exponential Equations
variable is part of an exponent
to solve an exponential equation
previous courses algebraically manipulate using logarithms
Math Studies using GDC, on “Y=” screen enter each side of the equation for two
different functions using the “CALC” menu, choose “intersect” to
find where the two functions cross
(may have to adjust window settings)
Example
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18A, 18B, 18C, 18D
5/1/ :24 PM

3. Exponential Functions
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often used to model a population or determine compound interest
a: “initial value”; when negative: reflection across horizontal asymptote
b: b > 1 growth 0 < b < 1 decay
c: horizontal shift
d: y = d horizontal asymptote (vertical shift)
to graph: determine and graph the asymptote
find and plot the locator point (when x – c = 0)
find and plot additional points
18A, 18B, 18C, 18D
5/1/ :24 PM

4. Practice
p. 531: 1, 4 p. 533: 1, 3(a)(c)(d) p. 535: 3(a)(d)(g) p. 536: 1 (a)(f), 2(c) p. 538: 2 p. 539: 1, 6 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers.
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18A, 18B, 18C, 18D
5/1/ :24 PM