1 MTH 107 Quiz 13 (Not to Turn-in) Name:____________________ Instructions: Write your answers in the space provided. You must show all of your work for full credit. Use techniques learned in class when possible. Points are awarded based on the quality of your work. Have Fun. (1) Suppose the population of bunnies in an area is 500 in 2009 and 850 in 2013. Create an exponential function which models the bunny population as a function of years after 2009. (2) Suppose Claire has an award winning bunny who is valued at $3000 in 2005. Eight years later (in 2013) the same bunny is valued at $600. Assuming that the value of bunnies is exponential, how much is the bunny worth in 2017? 2 (3) Create a function which models the following graph. (4) Given the basic function f(x) = log3(x), find a function which (a) shifts f(x) upwards 5 units AND (b) shifts f(x) to the right by 8 units. Solution : ________________________ East Asian Night The world is very varied, but due to geographical areas and divisions, differences between people could exist to distinguish one country from another, and one culture from the other. Going to the East Asian Night, October 24th, 2014 at IUP, taught me a lot about cultures and traditions of Asian countries. I learned about Japan, China, Taiwan, and South Korea. This paper will be a reflection on what I saw on the East Asian Night. There are two main differences that were presented on the East Asian Night between Japan, China, Taiwan, and South Korea. The first is the way people dress. There were many colorful dresses and costumes that the people were wearing. For me, the Japanese dresses wear the best looking; they dresses were modest yet very beautiful and colorful. The second main difference that was deliciously exhibited was the food. Every one of those countries presented one of their main dishes. China showed the Dumplings. Taiwan was depicted in the Taiwanese Soup. While Korea had the biggest food table and the most varied, the Korean students presented the Kimchi, Gimbap, Korean beef, and Rice Noodles. In conclusion, many other cultural representation were presented on this night other that food and clothing. For example, lots of games were staged like the Chinese Chess which is greatly different than the western or the Arabian Chess. Also, music and musical instrument like the Korean Drum were displayed in front of the audience. Lastly, what one thing that fascinated me was traditional Yo-Yo; this reminded me of my childhood and how the Yo-yo was my favorite toy. 1 MTH 107 Quiz 12 (Not to Turn-in) Name:____________________ Instructions: Write your answers in the space provided. You must show all of your work for full credit. Use techniques learned in class when possible. Points are awarded based on the qua ...

1. 1
MTH 107
Quiz 13 (Not to Turn-in)
Name:____________________
Instructions: Write your answers in the space provided. You
must show all of your work for
full credit. Use techniques learned in class when possible.
Points are awarded based on the
quality of your work. Have Fun.
(1) Suppose the population of bunnies in an area is 500 in
2009 and 850 in 2013.
Create an exponential function which models the bunny
population as a function of years after
2009.

2. (2) Suppose Claire has an award winning bunny who is valued
at $3000 in 2005. Eight years
later (in 2013) the same bunny is valued at $600. Assuming
that the value of bunnies is
exponential, how much is the bunny worth in 2017?
2
(3) Create a function which models the following graph.

3. (4) Given the basic function f(x) = log3(x), find a function
which
(a) shifts f(x) upwards 5 units AND
(b) shifts f(x) to the right by 8 units.
Solution
: ________________________

4. East Asian Night
The world is very varied, but due to geographical areas and
divisions, differences between people could exist to distinguish
one country from another, and one culture from the other. Going
to the East Asian Night, October 24th, 2014 at IUP, taught me a
lot about cultures and traditions of Asian countries. I learned
about Japan, China, Taiwan, and South Korea. This paper will
be a reflection on what I saw on the East Asian Night.
There are two main differences that were presented on the East
Asian Night between Japan, China, Taiwan, and South Korea.
The first is the way people dress. There were many colorful
dresses and costumes that the people were wearing. For me, the
Japanese dresses wear the best looking; they dresses were
modest yet very beautiful and colorful.
The second main difference that was deliciously exhibited was
the food. Every one of those countries presented one of their
main dishes. China showed the Dumplings. Taiwan was depicted
in the Taiwanese Soup. While Korea had the biggest food table
and the most varied, the Korean students presented the Kimchi,
Gimbap, Korean beef, and Rice Noodles.

5. In conclusion, many other cultural representation were
presented on this night other that food and clothing. For
example, lots of games were staged like the Chinese Chess
which is greatly different than the western or the Arabian
Chess. Also, music and musical instrument like the Korean
Drum were displayed in front of the audience. Lastly, what one
thing that fascinated me was traditional Yo-Yo; this reminded
me of my childhood and how the Yo-yo was my favorite toy.
1
MTH 107
Quiz 12 (Not to Turn-in)
Name:____________________
Instructions: Write your answers in the space provided. You
must show all of your work for
full credit. Use techniques learned in class when possible.

6. Points are awarded based on the
quality of your work. Have Fun.
(1) Is the following a true statement?
(ln x)2 = 2 ln x
Explain how you know.
(2) Solve by algebra. Show your work.
Round to 5 decimal places if needed.
2 − log5(x − 10) = log5(x)

7. 2
(3) Solve by any technique learned in class. Show your work.
Round to 5 decimal places if needed.

8. 2(x−3) = 16x
(4) Suppose Jessica invested some money into an account which
earns 5% interest compounded
semi-annually. After 8 years she has $2500 in the account.
How much did she originally invest?
Show all of your work.

9. 1
MTH 107
Quiz 10 (Not to Turn-in)
Name:____________________

10. Instructions: Write your answers in the space provided. You
must show all of your work for
full credit. Use techniques learned in class when possible.
Points are awarded based on the
quality of your work. Have Fun.
(1) Graph f(x) = e(−x) + 1
Clearly identify any vertical or horizontal asymptotes.

11. 2

12. (2) Identify the formula of the following exponential function y
= bx.
(This means solve for the base b)
(3) Which of the following are exponential functions? Explain.
X Y=f(x)
0 3
1 5
2 8
3 9
4 10
5 12

13. X Y=g(x)
0 2
1 2.5
2 3.3
3 4.4
4 6.1
5 8.6
1
MTH 107
Quiz 11 (Not to Turn-in)
Name:____________________
Instructions: Write your answers in the space provided. You
must show all of your work for

14. full credit. Use techniques learned in class when possible.
Points are awarded based on the
quality of your work. Have Fun.
(1) Explain the following.
Assume you are explaining this to someone who knows a little
about exponentials.
(a) Explain what the logarithmic function f(x) = log5(x) means.
(b) Explain what log4(2048) tells us.

15. (2) Simplify as much as possible.
10 log2(x + 3) + 2 log2(x − 4) + log5(x + 1) − log5(3x + 8)
2
(3) Solve the following for x:

16. (a) 11(2x−3) = 22
(b) log2(5x) = 15

17. (c) x4 = 10