I. Complete the following definitions:
1. The domain of a function is ….
2. The range of a function is ….
3. A function
f(x)
is even if ….
4. A function
f(x)
is odd if ….
5. The period of a sinusoidal function is ….
6. The amplitude of a sinusoidal function is ….
7. A function
f(x)
is continuous at a point c if ….
(You may use either the epsilondelta definition or the limit definition.)
II. Write the basic formula for each of the following types of functions:
1. linear
2. exponential
3. sinusoidal
4. power
5. rational
III. Solve the following equations.
Either leave your answers exact or round to three
places past the decimal.
Simplify as much as possible, but note that there may be more
than one way to write your answer.
Ex:
)
2
ln(
)
2
ln(
0
)
2
ln(
)
1
ln(
)
2
/
1
ln(

=

=

=
1.
1000
250
x
e
=
2.
10 1.4
x
=
3.
5
4
x
x
=
4. 2(5)
7(3)
x
x
=
5.
2
1
x
x
e
e
+
=
6.
1
5
3
4
x
x
+

=
IV. Find the following limits.
If the limit does not exist, write DNE.
1.
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 Summer '08
 VAKARIETIS
 Intermediate Value Theorem, lim, Continuous function, 5 hours, Nonstandard calculus

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