7.5-7.8 Quiz
____
____
1. What is the simplified form of the expression?
a. 27
c.
b. 3
d.
2. Does the table represent a linear or an exponential function?
x
y
1
8
2
11
a. exponential
3
14
4
17
b. linear
____
3. Does the rule
a. exponential
____
4. Suppose an investment of $3,800 doubles in value every decade. The function
value of the investment after x decades. How much is the investment worth after 2 decades?
a. $152,000
c. $76,000
b. $15,200
d. $15,200
____
5. Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the
population after 4 years.
a.
b.
c.
d.
____
represent a linear or an exponential function?
b. linear
about 12,000 deer
about 1,624 deer
about 3,110 deer
about 24,000 deer
6. Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48, ...
a. yes; 2
b. yes; –2
c. yes; 4
____
7. Write the explicit formula for the geometric sequence.
,
,
a.
c.
b.
d.
____
8. Write the recursive formula for the geometric sequence.
,
,
a.
c.
b.
d.
d. no
gives the
What is the graph of the function?
____
9.
a.
c.
y
–4
16
16
8
8
–2
2
4
–4
x
–2
–8
–8
–16
–16
b.
d.
y
–4
y
16
8
8
2
4
4
x
2
4
x
y
16
–2
2
–4
x
–2
–8
–8
–16
–16
____ 10. Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double
every month. Ken started out with 65 rabbits and the function
models the number of rabbits
he will have after x months. Which graph represents this function?
y
c.
1000
y
1000
800
800
Number of rabbits
Number of rabbits
a.
600
400
600
400
200
200
2
4
6
8
2
x
10
y
d.
1000
6
8
10
4
5
x
y
1000
800
800
Number of rabbits
Number of rabbits
b.
4
Time (months)
Time (months)
600
400
200
600
400
200
1
2
Time (months)
3
x
1
2
3
Time (months)
x
7.5-7.8 Quiz Answer Section
1. ANS: B
PTS: 1
DIF: L2
REF: 7-5 Rational Exponents and Radicals
OBJ: 7-5.1 To rewrite expressions involving radicals and rational exponents
NAT: CC N.RN.2 TOP: 7-5 Problem 1 Finding Roots
KEY: index | root | radical expression
2. ANS: B
PTS: 1
DIF: L2
REF: 7-6 Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.1.b| A.1.e|
A.1.h| A.2.h| A.3.h TOP: 7-6 Problem 1 Identifying Linear and Exponential Functions
KEY: exponential function
3. ANS: A
PTS: 1
DIF: L2
REF: 7-6 Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.1.b| A.1.e|
A.1.h| A.2.h| A.3.h TOP: 7-6 Problem 1 Identifying Linear and Exponential Functions
KEY: exponential function
4. ANS: B
PTS: 1
DIF: L3
REF: 7-6 Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.1.b| A.1.e|
A.1.h| A.2.h| A.3.h TOP: 7-6 Problem 2 Evaluating an Exponential Function
KEY: exponential function
5. ANS: B
PTS: 1
DIF: L4
REF: 7-7 Exponential Growth and Decay
OBJ: 7-7.1 To model exponential growth and decay
NAT: CC A.SSE.1.b| CC A.SSE.3.c| CC A.CED.2| CC F.IF.4| CC F.IF.8.b| CC F.BF.3| CC F.LE.1.c| CC
F.LE.5| A.2.g| A.3.h| A.4.c
TOP: 7-7 Problem 1 Modeling Exponential Growth
KEY: exponential growth | growth factor
6. ANS: A
PTS: 1
DIF: L2
REF: 7-8 Geometric Sequences
OBJ: 7-8.1 To write and use recursive formulas for geometric sequences
NAT: CC A.SSE.1.a| CC F.IF.3| CC F.BF.1.a| CC F.BF.2| CC F.LE.2
TOP: 7-8 Problem 1 Identifying Geometric Sequences
KEY: geometric sequence | common ratio
7. ANS: B
PTS: 1
DIF: L3
REF: 7-8 Geometric Sequences
OBJ: 7-8.1 To write and use recursive formulas for geometric sequences
NAT: CC A.SSE.1.a| CC F.IF.3| CC F.BF.1.a| CC F.BF.2| CC F.LE.2
TOP: 7-8 Problem 2 Finding Recursive and Explicit Formulas
KEY: geometric sequence | explicit formula
8. ANS: D
PTS: 1
DIF: L3
REF: 7-8 Geometric Sequences
OBJ: 7-8.1 To write and use recursive formulas for geometric sequences
NAT: CC A.SSE.1.a| CC F.IF.3| CC F.BF.1.a| CC F.BF.2| CC F.LE.2
TOP: 7-8 Problem 2 Finding Recursive and Explicit Formulas
KEY: geometric sequence | recursive formula
9. ANS: B
PTS: 1
DIF: L3
REF: 7-6 Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.1.b| A.1.e|
A.1.h| A.2.h| A.3.h TOP: 7-6 Problem 3 Graphing an Exponential Function
KEY: exponential function
10. ANS: C
PTS: 1
DIF: L4
REF: 7-6 Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.1.b| A.1.e|
A.1.h| A.2.h| A.3.h TOP: 7-6 Problem 4 Graphing an Exponential Model
KEY: exponential function