Intermediate Algebra Unit 3 Review
Name ___________________________
Period _________
3.1 I can demonstrate understanding about exponential functions, compare situations and equations for exponential function to linear functions
Label the following representations as Linear or Exponential and explain how you know!
1.
X
-1
0
1
2
3
4
Y
18
15
12
9
6
3
2.
3. Each term in a sequence is 6 more than the previous term
4.
X
y
1
4
2
12
3
36
4
108
5
324
1. _____________________________________________________________________________________________
2. _____________________________________________________________________________________________
3. _____________________________________________________________________________________________
4. _____________________________________________________________________________________________
3.2 I can recognize, use and create tables, graphs and real world situations modeling exponential growth and decay.
5.
Horace has inherited $500,000 from a long lost uncle. He decides to hide the money under the mattress and spend 25% of
the amount of money that is left each year. Make a table of values and a graph of the situation for years 0 to 9.
How much money will he have after 6 years?
b.
Horace feels he will have to go back to work when the amount of money is
below $50,000. After how many years will this happen?
$ under mattress
a.
Year
s
3.3 I can evaluate exponential functions in the form y = abx and relate the meaning to the context of a real world situation.
Evaluate the following exponential functions using the given values.
f(x) =
2x
g(t) =
1
p(k) = 6•  
3
3•2t+1
6.
f(4)
7.
g(3)
8.
f(-2)
9.
Find k so p(k) = 20.
k 2
3.4 I can demonstrate understanding of the significant features of a graph of an exponential function and their relationship to real world situations.
10. Graph the following functions, draw and label the asymptotes, and give the indicated information.
x
1
f(x) =  
4
x
+2
y
Domain: _________________
Range: __________________
Asymptote: ______________
y-intercept: ______________
Intermediate Algebra (A)
Name _____________________________
Unit 3 Free Response Practice Questions
Class period 1 2 3 4 5
11. A lake contains two types of game fish. Walleye, which naturally reproduce and do not require stocking and
trout, which do not naturally reproduce and require stocking to maintain a population. In 2000, there were 400
walleye in the lake and every year since, the number of walleyes in the lake has increased by 50%. In 2000, there
were 900 trout in the lake and every year since, the DNR has stocked 150 additional trout.
a.) Complete the graphs and tables below to represent the number of walleyes and the number of trout in the lake
in the first 4 years since 2000. Let x represent the number of years since 2000 and let y represent the number of
fish in the lake.
Walleye
Trout
x
y
x
y
0
1
2
3
4
400
0
900
1
2
3
4
b.) What type of function would best model each of these situations?
c.) What is the domain and range? Explain your answers in context of the situation.
d.)
Is there a year that the number of walleye and the number of trout in the lake will be the same?
e.) In what year will the population of Walleye reach 3000 fish? Round your answer to one decimal place.
f.) If the Walleye’s population had been increasing at this rate for many years, determine what the population of
Walleye was in 1998.
12. The population of North Rivers is decreasing exponentially according to the formula
P = 3605(.92)t, where t is measured in years from the year 2000. Let t represent the number of years since 2000
and let P represent the population of North Rivers.
GRAPHING CALCULATOR
a.) Find the population of North Rivers in 10 years.
b.) What was the initial population in the year 2000?
c.) Complete the table and graph showing the population of North
Rivers.
t
P
Population
SCIENTIFIC CALCULATOR
SCIENTIFIC CALCULATOR
WORK SPACE
Years
WORK SPACE
d.) When the population of the town reaches 2000 people, the
local school district is planning to merge with the school district
in the neighboring town. Using the graph and table, estimate
what year that will occur.
e.) If the town's population had been declining for many years,
determine what the population of the town was in 1995.