a.
\Find the amplitude of the function.
\The population of a certain species of a deer can be modeled by
, where
is the population and
is the time in years.
Compare the function
with
.
Amplitude is
.
The amplitude represents the amount that the population varies above and below the initial population of
.
b.
\Period
.
The period represents the population will return to its original value every
years.
c.
\The function is
.
Make the table of values to find ordered pairs that satisfy the function.
\Choose values for
and find the corresponding values for
.
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Graph :
\1. Draw a coordinate plane.
\2. Plot the coordinate points.
\3. Then sketch the graph, connecting the points with a smooth curve.
\
a.
\Amplitude is
.
The amplitude represents the amount that the population varies above and below the initial population of
.
b.
\Period is
.
The period represents the population will return to its original value every
years.
c. \ \
\Graph of the function
is :
