Exponential and Logarithmic Functions Scavenger Hunt

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Scavenger Hunt: You’re the Expert: EOC Review Part II
Divide the class into pairs. Give each pair a problem to start with. Then let their answer choices guide them from
there.
Solutions:
1. c
2. d
3. a
4. b
5. d
6. c
7. a
8. d
9. b
10. d
11. a
12. a
13. d
14. b
1st Period Groups
Abu-sh
Malinda
Austin
Kyle
Will
Ryan
Adia
Puja
Zoe
Jordyn
Nick
Autumn
Garrett
Tristan
Mariana
Ravi
Rachel
Bryan
Molina
Courtney
Matt
Reagan
Hannah
Jake
Josh
Elizabeth
Emma
1. Write an exponential model for the given points
1
 27 

  1,  and  2, 
2

 2
27  1 
 
a. f  x  
2 2
x
b. f  x   12
x
c. f x  
3 x
3
2
3
d. f  x   3 
2
x
a. Middle Computer in Paris’ Room
b. B-Hall Einstein Picture
c. Locker B-126
d. Paris’ Side B-Hall Entrance
2. Simplify the logarithmic expression.
ln e  3 ln x   2 ln x  3 ln y
2
2

 e2 y 3 
a. ln  1 
 x2 
 x 32 y3 

b. 2 ln 
2

 x 
 e2 x 32 y 3 

c. ln 
2

 x

 
d. ln xy
3
a. Locker B-121
b. Tan File Cabinet in Paris’ Room
c. B-Hall Men’s Restroom Entrance
d. Far Left Computer in Paris’ Room
3. Solve.
log b x2  2  2 log b 6  log b 6 x 
a.
3
2
b.
3 4
,
2 3
c. 6
d. 6 ,  12
a. B-Hall Edison Picture
b. Left Main Hall Water Fountain
c. Red Cabinet in Paris’ Room
d. B-Hall Teach Workroom Fridge
4. Solve.
log3 37 x2  2 x2  3
a.
5
,1
2
b.
5
, 1
2
c. No Solution
d.
5
2
a. B-Hall Indian Mural
b. Office Side Classroom Door
c. B-Hall Einstein Picture
d. Homework Board
5. Solve.
2e3 x1  4  0
a.
1  log 2
3 log e
b.
ln 3
3
c.
1  log 2 e
3
d.
1  ln 2
3
a. Locker B-131
b. Main Hall Giant Arrowhead
c. Far Right Computer in Paris’ Room
d. Paris’ Room American Flag
6. Solve.
log 2 4 x   log 2 3  2 log 2 x  1
a. No Solution
b.
2
, 0
3
c.
8
3
d.
8
, 0
3
a. Right Main Hall Water Fountain
b. Top Shelf of B-Hall Trophy Case
c. Locker B-136
d. B-Hall Teacher Workroom Microwave
7. In 1990, the population of the U.S. was 248.7 million. After 1 decade is was 268.6 million.
Assuming exponential growth, in what year with the population reach 300 million?
a. 2014
b. 2013
c. 2012
d. 2011
a. B-Hall Bookroom on Right
b. Bottom Shelf of B-Hall Trophy Case
c. Green File Cabinet in Paris’ Room
d. B-Hall Teacher Workroom Microwave
8. You invest $20,000 into an account that pays 15% annual interest and is compounded
continuously. How many years would you have to wait before the balance of the account
reaches $1 million?
a. 52.371 yrs
b. 45.025 yrs
c. 31.117 yrs
d. 26.080 yrs
a. Chalkboard Coordinate Plane
b. Guidance End Library Door
c. B-Hall Edison Picture
d. B-Hall Indian Mural
9. You invested $2,500 into an account that is compounded quarterly. After 3 years, the balance
of the account was $3564.40. How many years would you have to wait until the balance reached
$10,000?
a. 10.00 yrs
b. 11.75 yrs
c. 13.5 yrs
d. 15.25 yrs
a. Far Left Computer in Paris’ Room
b. Left Main Hall Water Fountain
c. Locker B-131
d. B-Hall Electrical Panel
10. An archaeologist found a skeleton. To determine how old it was, he used a technique called
radio-carbon dating. Eight percent of the samples Carbon-14 (which has a half-life of
approximately 5730 yrs) had decayed. How old is the body?
a. 2,384 yrs
b. 3.26 million yrs
c. 152.6 yrs
d. 689.286 yrs
a. Main Hall Giant Arrowhead
b. Chalkboard Circle Graph
c. B-Hall Edison Picture
d. B-Hall Tan Cabinet
11. State whether the following relation Exponential. If so write an exponential model.
x
-1
0
1
2
3
f(x)
16
8
4
2
1
1
a. yes, f  x   8 
2
x
1
b. yes, f x   2 
8
x
1
2
c. yes, f  x    8
x
d. no
a. Paris’ Name Plate
b. Locker B-136
c. B-Hall Bookroom on Right
d. Paris’ Computer Cart TV
12. Evaluate.
log 4 32
a.
5
2
b. 8
c.
2
5
d.
1
8
a. B-Hall Side Classroom Door
b. B-Hall Women’s Restroom Entrance
c. Guidance End Library Door
d. Homework Board
13. Evaluate.
log 1 27
9
a. 243
b.
2
3
c.  243
d.
3
2
a. Homework Board
b. Guidance End Library Door
c. B-Hall Bookroom Left Door
d. Paris’ Side B-Hall Entrance
14. State the domain, range, and asymptote. (Hint identify the transformations.)
f  x   3 log 3  x  2  1
a. Domain:  ,  
Range:  ,2
Asymptote: y  2
b. Domain:  ,2
Range:  ,  
Asymptote: x  2
c. Domain:  ,  
Range:  1,  
Asymptote: y  1
d. Domain:  1,  
Range:  ,  
Asymptote: x  1
a. B-Hall Teacher Workroom Fridge
b. Far Right Computer Paris’ in Room
c. Coach Davis’ Side B-Hall Entrance
d. Locker B-126
GO
BACK
You’re the Expert (Part II) Scavenger Hunt:
Record Sheet
No.
1.
2.
3.
4.
Work, Justification, or Calculator Steps
Group Members:______________________________
______________________________
Answer Choice
No.
5.
6.
7.
8.
Work, Justification, or Calculator Steps
Answer Choice
No.
9.
10.
11.
12.
Work, Justification, or Calculator Steps
Answer Choice
No.
13.
14.
Work, Justification, or Calculator Steps
Answer Choice
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