WELCOME TO:
HONORS PRE-CALCULUS
Rules:
• The first individual who answers the question
correctly (after raising his or her hand) will
receive points for his or her team.
• Answers must be explained to the class.
• Calling out will disqualify your team for that
question.
Exponential
Functions
Logarithmic
Functions
Properties of
Logarithms
Exp. & Log.
Equations
Wild Card
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Exponential Functions (100 pts)
• Use the graph of f(x) to describe the
transformation that results in the
graph of g(x).
f(x) = 3x
g(x) = 2  3x – 5
Exponential Functions (200 pts)
• What is the value of $2,000 invested
at 6.5% after 12 years if the interest
is compounded annually?
Exponential Functions (300 pts)
• What is the value of $250 invested at
8% after 10 years if the interest is
compounded continuously?
Exponential Functions (400 pts)
• Eric and Sonja are determining the
worth of a $550 investment after 12
years in a savings account earning
3.5% interest compounded monthly.
Eric thinks the investment is worth
$837.08, while Sonja thinks it is
worth $836.57. Is either of them
correct? Explain.
Exponential Functions (500 pts)
• You invest $1500 in an account with
an interest rate of 8% for 12 years,
making no other deposits or
withdrawals. If your investment is
compounded daily, about how long
will it take to be worth double the
initial amount?
Logarithmic Functions (100 pts)
• Evaluate the following expressions:
log232
log131
lne11
Logarithmic Functions (200 pts)
• Evaluate the following expressions:
log322
9
log9 5.3
eln12
Logarithmic Functions (300 pts)
• The students in Mr. Weisbach’s class were tested
on exponents at the end of chapter one and then
retested each month to determine the amount of
information they retained. The average exam
scores can be modeled by f(x) = 85.9 – 9lnx,
where x is the number of months since the initial
exam. What was the average score after 3
months?
Logarithmic Functions (400 pts)
• An investment of $10,000 was made
in 2002 and had a value of $17,500 in
2013. If the investment was
compounded continuously, what was
the average annual growth rate of
the investment?
Logarithmic Functions (500 pts)
• The number of machines infected by a specific
computer virus can be modeled by the equation
c(d) = 6.8 + 20.1lnd, where d is the number of
days since the first machine was infected. On
about what day will the number of infected
machines reach 75?
Properties of Logarithms (100 pts)
• Expand the following expression.
3
3 6
log 3 9x y z

Properties of Logarithms (200 pts)
• Expand the following expression
5
gj k
log
100

Properties of Logarithms (300 pts)
• Condense the following expression
1
3log 3 x  log 3 7  log 3 x
2

Properties of Logarithms (400 pts)
• Condense the following expression
5ln( x  3)  3ln 2x  4 ln( x 1)
Properties of Logarithms (500 pts)
• Walter is a chemist who can create
chemicals at an exponential rate. The
number of pounds of chemicals he
can create can be modeled by c(d) =
4.9 + 11.2lnd + 3lnd2. About how
many pounds has created by day 8?

Exp. & Log Equations (100 pts)
• Solve the following equation:
log 2 x  log 2 3  log 2 18
Exp. & Log Equations (200 pts)
• Solve the following equation:
7ln 2x  28

Exp. & Log Equations (300 pts)
• Solve the following equation:

x 3
3
 27
x 2
Exp. & Log Equations (400 pts)
• Solve the following equation:
log 6 x  log 6 (x  5)  2

Exp. & Log Equations (500 pts)
• Solve the following equation:
log x  log( x  3) 1

Wild Card (100 pts)
• Solve the following equation:
123456789
ln e

Wild Card (200 pts)
• Solve the following equation.
log 5 x  20
4


Wild Card (300 pts)
• Solve the following equation:
7  3log10x 13
Wild Card (400 pts)
• The number of people P in millions
Chrome and Safari to surf the internet t
weeks after the creation of the search
engines can be modeled by:
G(t) 1.5
t 4
S(t)  2.25
t 3.5
During which week did the same number
of people use each search engine?

Wild Card (500 pts)
• The table shows revenue from sales of T-shirts
and other memorabilia sold by two different
vendors during and one week after the 2013
World Series.
World Series Memorabilia Sales
Days After Series
Vendor A ($)
Vendor B ($)
0
300,000
200,000
7
37,000
49,000
If the sales are decreasing at an exponential rate,
identify the continuous rate of decline for each
vendor’s sales.