7.8-8.3 Quiz Version B
Name: ________________________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which function matches the graph?
y
2
2
4
6
8
10 x
–2
–4
–6
____
a.
c.
b.
d.
2. An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model
the quail population.
a.
c.
b.
d.
Write the equation in logarithmic form.
____
____
3.
a.
b.
c.
d.
a.
c.
b.
d.
4.
Evaluate the logarithm.
____
____
____
5.
a. –3
b. 5
c. 4
d. –4
a. 5
b. 3
c. –5
d. 4
6.
7. Write the equation
a.
in exponential form.
b.
c.
d.
____
8. Write an exponential function for the graph.
y
20
16
12
8
4
–6
–4
–2
2
4
6
x
–4
a.
____
b.
c.
d.
9. The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801
kg. Write an exponential function that models the decay of this material. Find how much radioactive material
remains after 10 days. Round your answer to the nearest thousandth.
a.
c.
; 0 kg
; 738.273 kg
b.
d.
; 0.911 kg
; 0.228 kg
____ 10. How much money invested at 5% compounded continuously for 3 years will yield $820?
a. $952.70
b. $818.84
c. $705.78
d. $780.01
Graph the logarithmic equation.
____ 11.
a.
c.
y
–8
y
8
8
4
4
–4
4
8
x
–8
–4
4
–4
–4
–8
–8
8
x
Option (b) and (d) for
#11 on the next page!
b.
d.
y
–8
y
8
8
4
4
–4
4
8
–8
x
–4
–4
–4
–8
–8
4
8
x
4
8
x
4
8
x
____ 12.
a.
–8
8
4
4
–4
4
8
–8
x
–4
–4
–4
–8
–8
d.
y
–8
y
8
b.
13.
c.
y
y
8
8
4
4
–4
4
8
x
–8
–4
–4
–4
–8
–8
Without graphing, determine whether the function
decay: __________________
represents exponential growth or exponential
14. Without graphing, determine whether the function
represents exponential growth or exponential
decay: _________________
15. 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?
Graph each function. Label any asymptotes if one exists.
16.
18 . Graph
20.
22.
17.
.
19.
21.
𝑦 = 3𝑥+2 − 4
7.8-8.3 Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: D
PTS: 1
DIF: L2
REF: 7-8 Graphing Radical Functions
OBJ: 7-8.1 Radical Functions
NAT: NAEP A2a | CAT5.LV21/22.53 | CAT5.LV21/22.56 | IT.LV17/18.AM | IT.LV17/18.DI |
S9.TSK3.DSP | S9.TSK3.GM | S10.TSK3.DSP | S10.TSK3.GM | TV.LV21/22.14 | TV.LV21/22.15 |
TV.LVALG.56 | ADP J.2.2 | ADP K.6
TOP: 7-8 Example 3
KEY: domain | graphing | range | radical function | translation
2. ANS: C
PTS: 1
DIF: L3
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.1 Exponential Growth
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 2
KEY: exponential function | growth factor
3. ANS: A
PTS: 1
DIF: L3
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.1 Writing and Evaluating Logarithmic Expressions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 2
KEY: logarithm | logarithmic form
4. ANS: D
PTS: 1
DIF: L4
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.1 Writing and Evaluating Logarithmic Expressions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 2
KEY: logarithmic form | logarithm
5. ANS: D
PTS: 1
DIF: L4
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.1 Writing and Evaluating Logarithmic Expressions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 3
KEY: evaluating logarithms
6. ANS: A
PTS: 1
DIF: L3
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.1 Writing and Evaluating Logarithmic Expressions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 3
KEY: evaluating logarithms
7. ANS: C
PTS: 1
DIF: L4
REF: 8-3 Logarithmic Functions as Inverses
8.
9.
10.
11.
12.
OBJ: 8-3.1 Writing and Evaluating Logarithmic Expressions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 3
KEY: logarithmic form | logarithm | exponential form
ANS: A
PTS: 1
DIF: L4
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.1 Exponential Growth
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 3
KEY: exponential function | graphing | growth factor
ANS: C
PTS: 1
DIF: L3
REF: 8-2 Properties of Exponential Functions
OBJ: 8-2.1 Comparing Graphs
NAT: NAEP A1e | NAEP A1h | CAT5.LV21/22.45 | CAT5.LV21/22.50 | CAT5.LV21/22.53 |
IT.LV17/18.AM | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS |
S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.NS | S10.TSK3.PRA | TV.LV21/22.15 | TV.LV21/22.17 |
TV.LV21/22.47 | TV.LV21/22.52 | TV.LVALG.56 | ADP I.4.2 | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
TOP: 8-2 Example 3
KEY: exponential decay | exponential function
ANS: C
PTS: 1
DIF: L4
REF: 8-2 Properties of Exponential Functions
OBJ: 8-2.2 The Number e
NAT: NAEP A1e | NAEP A1h | CAT5.LV21/22.45 | CAT5.LV21/22.50 | CAT5.LV21/22.53 |
IT.LV17/18.AM | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS |
S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.NS | S10.TSK3.PRA | TV.LV21/22.15 | TV.LV21/22.17 |
TV.LV21/22.47 | TV.LV21/22.52 | TV.LVALG.56 | ADP I.4.2 | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
KEY: exponential function | exponential growth | interest rates | percent | problem solving | the number e |
compounding continuously
ANS: C
PTS: 1
DIF: L3
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.2 Graphing Logarithmic Functions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 6
KEY: graphing | logarithmic function
ANS: D
PTS: 1
DIF: L3
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.2 Graphing Logarithmic Functions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 6
KEY: graphing | logarithmic function
SHORT ANSWER
13. ANS:
y
20
16
12
8
4
–6
–4
–2
2
4
6
x
–4
PTS: 1
DIF: L3
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.1 Exponential Growth
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 1
KEY: exponential function | graphing
14. ANS:
y
20
16
12
8
4
–6
–4
–2
2
4
6
x
–4
PTS: 1
DIF: L3
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.1 Exponential Growth
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 1
KEY: exponential function | graphing
15. ANS:
y
5
4
3
2
1
–10 –8 –6 –4 –2
–1
–2
–3
–4
–5
2 4 6 8 10 x
PTS: 1
DIF: L3
REF: 8-3 Logarithmic Functions as Inverses
OBJ: 8-3.2 Graphing Logarithmic Functions
NAT: NAEP A2a | NAEP A3a | NAEP A3b | CAT5.LV21/22.50 | CAT5.LV21/22.55 | IT.LV17/18.AM |
IT.LV17/18.CP | S9.TSK3.GM | S9.TSK3.PRA | S10.TSK3.GM | S10.TSK3.PRA | TV.LV21/22.13 |
TV.LV21/22.52 | TV.LVALG.56 | ADP J.2.6
TOP: 8-3 Example 5
KEY: graphing | logarithmic function | inverse functions
16. ANS:
exponential growth
PTS: 1
DIF: L3
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.2 Exponential Decay
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 4
KEY: exponential function | exponential growth | reasoning
17. ANS:
exponential decay
PTS: 1
DIF: L3
REF: 8-1 Exploring Exponential Models
OBJ: 8-1.2 Exponential Decay
NAT: NAEP A2h | CAT5.LV21/22.50 | CAT5.LV21/22.53 | IT.LV17/18.AM | IT.LV17/18.DI |
IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.PRA | TV.LV21/22.15 |
TV.LV21/22.17 | TV.LV21/22.52 | TV.LVALG.53 | TV.LVALG.56 | ADP J.2.3 | ADP J.4.7 | ADP J.4.8 |
ADP J.5.4 | ADP L.1.2
TOP: 8-1 Example 4
KEY: exponential decay | exponential function | reasoning
18. ANS:
y
4
2
–4
–2
2
4
x
–2
–4
PTS: 1
DIF: L2
REF: 7-8 Graphing Radical Functions
OBJ: 7-8.1 Radical Functions
NAT: NAEP A2a | CAT5.LV21/22.53 | CAT5.LV21/22.56 | IT.LV17/18.AM | IT.LV17/18.DI |
S9.TSK3.DSP | S9.TSK3.GM | S10.TSK3.DSP | S10.TSK3.GM | TV.LV21/22.14 | TV.LV21/22.15 |
TV.LVALG.56 | ADP J.2.2 | ADP K.6
TOP: 7-8 Example 2
KEY: domain | graphing | range | radical function | translation
19. ANS:
y
8
4
–8
–4
4
8
x
–4
–8
PTS: 1
DIF: L2
REF: 7-8 Graphing Radical Functions
OBJ: 7-8.1 Radical Functions
NAT: NAEP A2a | CAT5.LV21/22.53 | CAT5.LV21/22.56 | IT.LV17/18.AM | IT.LV17/18.DI |
S9.TSK3.DSP | S9.TSK3.GM | S10.TSK3.DSP | S10.TSK3.GM | TV.LV21/22.14 | TV.LV21/22.15 |
TV.LVALG.56 | ADP J.2.2 | ADP K.6
TOP: 7-8 Example 3
KEY: domain | graphing | range | radical function | translation
20. ANS:
y
12
8
4
–12
–8
–4
4
8
12 x
–4
–8
–12
PTS: 1
DIF: L2
REF: 7-8 Graphing Radical Functions
OBJ: 7-8.1 Radical Functions
NAT: NAEP A2a | CAT5.LV21/22.53 | CAT5.LV21/22.56 | IT.LV17/18.AM | IT.LV17/18.DI |
S9.TSK3.DSP | S9.TSK3.GM | S10.TSK3.DSP | S10.TSK3.GM | TV.LV21/22.14 | TV.LV21/22.15 |
TV.LVALG.56 | ADP J.2.2 | ADP K.6
TOP: 7-8 Example 4
KEY: cube root | cube function | graphing
21. ANS:
y
12
8
4
–12
–8
–4
4
8
12 x
–4
–8
–12
PTS: 1
DIF: L3
REF: 8-2 Properties of Exponential Functions
OBJ: 8-2.1 Comparing Graphs
NAT: NAEP A1e | NAEP A1h | CAT5.LV21/22.45 | CAT5.LV21/22.50 | CAT5.LV21/22.53 |
IT.LV17/18.AM | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS |
S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.NS | S10.TSK3.PRA | TV.LV21/22.15 | TV.LV21/22.17 |
TV.LV21/22.47 | TV.LV21/22.52 | TV.LVALG.56 | ADP I.4.2 | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
TOP: 8-2 Example 2
KEY: exponential function | graphing
22. ANS:
$1,923.23
PTS: 1
DIF: L3
REF: 8-2 Properties of Exponential Functions
OBJ: 8-2.2 The Number e
NAT: NAEP A1e | NAEP A1h | CAT5.LV21/22.45 | CAT5.LV21/22.50 | CAT5.LV21/22.53 |
IT.LV17/18.AM | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS |
S9.TSK3.PRA | S10.TSK3.DSP | S10.TSK3.NS | S10.TSK3.PRA | TV.LV21/22.15 | TV.LV21/22.17 |
TV.LV21/22.47 | TV.LV21/22.52 | TV.LVALG.56 | ADP I.4.2 | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
TOP: 8-2 Example 5
KEY: exponential function | exponential growth | interest rates | problem solving | the number e |
compounding continuously | percent