Chapter 7
Review
(6) Graph the exponential function. Identify growth or decay, y-intercept, domain, range, asymptote equation, and
t-chart. Identify the transformations, if any.
1.
2.
y
y
x
x
3. y = -(2) x-1 + 2
y
x
Use the formula A =Pe
4.
rt
to solve for final amount (A). (3 points each)
Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the
account after 4 years?
5. Suppose you invest $10500 at an annual interest rate of 7.3% compounded continuously. How much will you have in the
account after 12 years?
6. Suppose you invest $2750 at an annual interest rate of 6% compounded annually. How much will you have in the
account after 5 years?
Write the equation in logarithmic form.(2 points each)
7.
8. 34 = 84
Write the equation in exponential form. (2 points each)
9. log5 125  3
10. l o gx 3 1 . 2
Evaluate the logarithm. SHOW YOUR WORK. (3 points each)
11.
12.
Solve each equation. SHOW YOUR WORK. (3 points each)
13.
52 x  125
14.
4 7 a  16 5 a 6
15.
lo g6 x  2
16.
log b 64  3
17. log 3 (3x  6)  2
18.
log 8 (9 x  5)  log 8 (3x  49)
Chapter 7 Quiz
Answer Section
SHORT ANSWER
1. ANS:
y
20
16
12
8
4
–6
–4
–2
2
4
6
x
–4
PTS:
OBJ:
STA:
KEY:
2. ANS:
1
DIF: L2
REF: 7-1 Exploring Exponential Models
7-1.1 To model exponential growth and decay
NAT: A.1.b| A.2.f| A.2.g
A2.6.1| R.2| R.3
TOP: 7-1 Problem 1 Graphing an Exponential Function
exponential function
DOK: DOK 2
y
20
16
12
8
4
–6
–4
–2
2
4
6
x
–4
PTS:
OBJ:
STA:
KEY:
3. ANS:
1
DIF: L3
REF: 7-1 Exploring Exponential Models
7-1.1 To model exponential growth and decay
NAT: A.1.b| A.2.f| A.2.g
A2.6.1| R.2| R.3
TOP: 7-1 Problem 1 Graphing an Exponential Function
exponential function
DOK: DOK 2
y
6
4
2
–6
–4
–2
2
4
6
x
–2
–4
–6
PTS:
OBJ:
NAT:
KEY:
4. ANS:
1
DIF: L2
REF: 7-2 Properties of Exponential Functions
7-2.1 To explore the properties of functions of the form y = ab^x
N.3.f| G.2.c| A.1.b| A.2.d| A.2.h
STA: A2.6.1
TOP: 7-2 Problem 1 Graphing y = ab^x
exponential function
DOK: DOK 2
y
6
4
2
–6
–4
–2
2
4
6
x
–2
–4
–6
PTS:
OBJ:
NAT:
KEY:
5. ANS:
1
DIF: L3
REF: 7-2 Properties of Exponential Functions
7-2.1 To explore the properties of functions of the form y = ab^x
N.3.f| G.2.c| A.1.b| A.2.d| A.2.h
STA: A2.6.1
TOP: 7-2 Problem 1 Graphing y = ab^x
exponential function
DOK: DOK 2
y
6
4
2
–6
–4
–2
2
4
6
x
–2
–4
–6
PTS:
OBJ:
NAT:
KEY:
6. ANS:
1
DIF: L3
REF: 7-2 Properties of Exponential Functions
7-2.1 To explore the properties of functions of the form y = ab^x
N.3.f| G.2.c| A.1.b| A.2.d| A.2.h
STA: A2.6.1
TOP: 7-2 Problem 2 Translating y = ab^x
exponential function
DOK: DOK 2
y
12
8
4
–12
–8
–4
4
8
12 x
–4
–8
–12
PTS: 1
DIF: L4
REF: 7-2 Properties of Exponential Functions
OBJ: 7-2.1 To explore the properties of functions of the form y = ab^x
NAT: N.3.f| G.2.c| A.1.b| A.2.d| A.2.h
STA: A2.6.1
TOP: 7-2 Problem 2 Translating y = ab^x
KEY: exponential function
DOK: DOK 2
7. ANS:
$1,923.23
PTS:
OBJ:
STA:
KEY:
8. ANS:
1
DIF: L2
REF: 7-2 Properties of Exponential Functions
7-2.2 To graph exponential functions that have base e
NAT: N.3.f| G.2.c| A.1.b| A.2.d| A.2.h
A2.6.1
TOP: 7-2 Problem 5 Continuously Compounded Interest
continuously compounded interest DOK: DOK 2
PTS: 1
DIF: L2
REF: 7-3 Logarithmic Functions as Inverses
OBJ: 7-3.1 To write and evaluate logarithmic expressions
NAT: G.2.c| A.2.h| A.3.h
STA: A2.6.2
TOP: 7-3 Problem 1 Writing Exponential Equations in Logarithmic Form
KEY: logarithm
DOK: DOK 2
9. ANS:
–4
PTS:
OBJ:
STA:
KEY:
10. ANS:
5
1
DIF: L3
REF: 7-3 Logarithmic Functions as Inverses
7-3.1 To write and evaluate logarithmic expressions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 2 Evaluating a Logarithm
logarithm
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
11. ANS:
1
DIF: L2
REF: 7-3 Logarithmic Functions as Inverses
7-3.1 To write and evaluate logarithmic expressions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 2 Evaluating a Logarithm
logarithm
DOK: DOK 2
y
5
4
3
2
1
–10 –8 –6 –4 –2
–1
–2
–3
–4
–5
PTS:
OBJ:
STA:
KEY:
12. ANS:
2 4 6 8 10 x
1
DIF: L2
REF: 7-3 Logarithmic Functions as Inverses
7-3.2 To graph logarithmic functions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 4 Graphing a Logarithmic Function
logarithmic function
DOK: DOK 2
y
12
8
4
–12
–8
–4
4
8
12 x
–4
–8
–12
PTS:
OBJ:
STA:
KEY:
13. ANS:
1
DIF: L4
REF: 7-3 Logarithmic Functions as Inverses
7-3.2 To graph logarithmic functions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 5 Translating y = logb x
logarithmic function
DOK: DOK 2
y
5
4
3
2
1
–10 –8 –6 –4 –2
–1
–2
–3
–4
–5
2 4 6 8 10 x
PTS:
OBJ:
STA:
KEY:
14. ANS:
2.2
1
DIF: L2
REF: 7-3 Logarithmic Functions as Inverses
7-3.2 To graph logarithmic functions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 4 Graphing a Logarithmic Function
logarithmic function
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
1
DIF: L4
REF: 7-3 Logarithmic Functions as Inverses
7-3.1 To write and evaluate logarithmic expressions
NAT: G.2.c| A.2.h| A.3.h
A2.6.2
TOP: 7-3 Problem 3 Using a Logarithmic Scale
logarithm | problem solving
DOK: DOK 2