1) Describe the transformations on the following
graph of f(x) = log(x) . State the placement of the vertical asymptote and *x*-intercept
after the transformation. For example, *vertical shift up 2*or *reflected
about the x-axis*are descriptions. )

*Graph*

a) g(x) = log(x - 5)

Description
of transformation:

Equation(s)
for the Vertical Asymptote(s):

*x*-intercept in (*x, y*)
form:

b) g(x) = -log(x) + 2

Description
of transformation:

Equation(s)
for the Vertical Asymptote(s):

*x*-intercept in (*x, y*)
form:

2)
Students in an English class took a final exam. They took equivalent forms of
the exam at monthly intervals thereafter. The average score *S*(*t*),
in percent, after *t*months was found to be given by

*S*(*t*) = 68
? 20 log (*t*+ 1), *t*? 0.

**a)
**What
was the average score when they initially took the test, *t*= 0?

Answer:

Show your work in this space:

**b)
**What
was the average score after 14 months?

Answer:

Show
your work in this space:

**c)
**After
what time *t*was the average score 40%?

Answer:

Show your work in this space:

3)
The formula for calculating the amount of money returned for an initial deposit
into a bank account or CD (certificate of deposit) is given by

A
= P(1 + r/n)^nt

*A
*is
the amount of the return.

*P
*is
the principal amount initially deposited.

*r
*is
the annual interest rate (expressed as a decimal).

*n
*is
the number of compound periods in one year.

*t
*is
the number of years.

Carry all calculations to six decimals on each
intermediate step, then round the final answer to the nearest cent.

Suppose
you deposit $3,000 for 6 years at a rate of 7%.

a)
Calculate the return (*A*) if the bank compounds semi-annually. Round your
answer to the nearest cent.

Answer:

Show work in this space. Use ^ to indicate the power
or use the Equation Editor in MS Word.

b)
Calculate the return (*A*) if the bank compounds monthly. Round your
answer to the nearest cent.

Answer:

Show work in this space:

c)
If a bank compounds continuously, then the formula used is where *e*is a
constant and equals approximately 2.7183. Calculate *A*with continuous
compounding. Round your answer to the nearest cent.

Answer:

Show work in this space: