Unformatted text preview: ltiply each successive y
If the multiplier is larger
than 1, it’s growth
If the multiplier is between
0 and 1, it’s decay.
and Exponential growth Exponential decay Exponential Situations
Exponential Money If your savings account earns 3% interest per
year, each year you could multiply your
balance by 1.03.
• This is an example of the repeated multiplication. Bacteria Each 42 hours, a bacteria doubles so each 42
hour unit of time, you multiply by 2.
• Another example of repeated multiplication. Exponential Transformation
Exponential The trick is to change the
data such that it is linear.
This can be done by
taking the logarithm.
taking Remember properties of
logarithms (when you
multiply powers, you add
So, essentially, you change
the y values to exponents
the Now look at the new
scatter-plot of (x, log y)
1880 Production in
barrels 0 30 10 77 20 149 30 328 40 428 50 1412 60 2150 Logs of
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- Winter '13
- Exponential Function, Exponentiation, Natural logarithm, Logarithm, exponential transformation