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Semester 1 Super Mega Death Final

Total questions: 80

Worksheet time: 3hrs 14mins

Name
Class
Date
1.

Which of the following scenarios would best represent the graph shown?

a)

Jackson ran to try and catch a bus at a stop near his house. He waited two minutes at the stop but realized he had missed the bus. So he slowly walked home.

b)

Wesley walked to the end of his driveway to get the newspaper and then turned to walk back inside at the same constant rate.

c)

Ben walked to a gas station close to his home to get a soda. He talked to some friends at the gas station for a few minutes. His mom called and told him to get home to do his Precal HW. The friend drove Ben back home. Luckily he got home faster in the car than when he walked.

d)

Jenny and her friend took the escalator to the 2nd story of the mall, shopped there for a while, and took the escalator back down.

2.

Which graph matches the given story:

The population size grows somewhat fast at first, and then the rate of growth slows.

a)

None of the graphs pictured match the story.

b)
c)
d)
e)
3.
A girl takes a ride on a ferris wheel. 
a)
A
b)
B
c)
C
d)
D
4.

How many extrema (maxes and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

5.

Check ALL the intervals where this graph is decreasing.

a)

(-∞, -1)

b)

(-1, 0)

c)

(0, 1)

d)

(1, ∞)

6.

On what intervals is f(x) increasing?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

7.

What interval is f(x) < 0 ?

a)

(1, 3)

b)

(-∞, -2) U (-0.3, 2.2)

c)

(-2, 1)

d)

(-1, 1)

8.

The blue dot on this graph represents a(n)...

a)

Absolute Maximum

b)

Absolute Minimum

c)

Local Maximum

d)

Local Minimum

9.

What do we call the point where concavity changes?

a)

Maximum Point

b)

Minimum Point

c)

Inflection Point

10.

Find the point(s) of inflection (if it exists) of the graphed function.

a)

No point of inflection

b)

Points 3 and 5

c)

Points 1, 3, 5 and 7

d)

Points 1, 2, 3, 4, 5, 6 and 7

e)

Points 2, 4 and 6

11.
What are the Vertical Asymptotes of...
a)
x = 0, -5
b)
x=0, 5
c)
x = 2, -7
d)
x = -2, 7
12.

Identify the vertical and horizontal asymptotes of the function.

f(x)=5xx+2f\left(x\right)=\frac{5x}{x+2}  

a)

Horizontal asymptote: y= -5
Vertical Asymptote: x= 2

b)

Horizontal asymptote: y= 2
Vertical Asymptote: x= 5

c)

Horizontal asymptote: y= 5 

Vertical Asymptote: x= -2

d)

(5, 2)

13.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

14.

Are these inverse functions?

a)

yes

b)

no

15.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

16.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
17.

Which graph represents the functions f(x) and f-1(x)?

a)
b)
c)
d)
18.

Find the inverse of  f(x)=10+7xf(x)=10+7x  

a)

f1(x)=x710f^{-1}(x)=\frac{x-7}{10}

b)

f1(x)=x107f^{-1}(x)=\frac{x-10}{7}

c)

f1(x)=110+7xf^{-1}(x)=\frac{1}{10+7x}

19.

The inverse of the function f(x) is written as ...

a)

f -1(x)

b)

f 2(x)

c)

f '(x)

d)

f +(x)

20.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
21.
Given f(x) = 2x and
g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
22.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).
a)
f(g(x))= -6x2+31
b)
f(g(x))= -6x2+24
c)
f(g(x))=18x2-84x+6
d)
f(g(x))=9x2-42x-1
23.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
24.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
25.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
26.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
27.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
28.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
29.

What is the common ratio?

a)

-2

b)

2

c)

4

d)

Not enough information

30.

What is the common ratio?

a)

5

b)

-5

c)

3

d)

Not enough information

31.
What is the 11th term of the geometric sequence?
a)
-5120
b)
97,656,250
c)
19,531,250
d)
-19,531,250
32.

Expand the following:  log7(4x)\log_7\left(4x\right)  

a)

log7(4)+log7(x)\log_7\left(4\right)+\log_7\left(x\right)  

b)

log7(4)log7(x)\log_7\left(4\right)-\log_7\left(x\right)  

c)

log7(x4)\log_7\left(x^4\right)  

d)

4log7(x)4\log_7\left(x\right)  

33.

lognn=\log_nn=   (a)  

34.

Expand the following: log5(z8)\log_5\left(z^8\right)  

a)

5log8(z)5\log_8\left(z\right)  

b)

8log5(z)8\log_5\left(z\right)  

c)

log5(8z)\log_5\left(8z\right)  

d)

8+log5(z)8+\log_5\left(z\right)  

35.

Simplify the following: log324log36\log_324-\log_36  

a)

log318\log_318  

b)

log3144\log_3144  

c)

log34\log_34  

d)

log12\log12  

e)

18log318\log3  

36.

log90001=\log_{9000}1=   (a)  

37.

Expand the following: log(j4k7)\log\left(j^4k^7\right)  

a)

log(4j)+log(7k)\log\left(4j\right)+\log\left(7k\right)  

b)

11log(j+k)11\log\left(j+k\right)  

c)

28log(jk)28\log\left(jk\right)  

d)

4log(j)+7log(k)4\log\left(j\right)+7\log\left(k\right)  

38.

Simplify the following: log5(3)+log5(r)log5(w)\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)  

a)

log5(3rw)\log_5\left(3rw\right)  

b)

log5(3+rw)\log_5\left(3+r-w\right)  

c)

log5(3rw)\log_5\left(\frac{3r}{w}\right)  

d)

log5(3r)log5(w)\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}  

39.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

40.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
41.
Name the NINE Reindeers.
a)
Sprint, Pixie, Mike, Beth, Snow, Flora, Flint, Max, Rudolph
b)
Luke, Paul, Anna, Mabel, Faun, Brute, Rudolph, Penelope, Storm
c)
Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen and Rudolph
d)
Horus, Solar, Zeus, Phineas, Frost, Poppy, Rudolph, Luna, Sally
42.
What should you leave out for Santa on Christmas eve?
a)
Porridge and Coffee
b)
Milk and Cookies
c)
Bread and Milo
d)
Cakes and Tea
43.

How many 'las' are after the 'fa' in "Deck the Halls?" (sing out loud if you must)

a)

Six

b)

Seven

c)

Eight

d)

Four

44.

What animals does the Grinch use to pull his sleigh?

a)

Bull

b)

Horse

c)

Dog

d)

Penguin

45.
Normally, a year contains 365 days. Which day does Christmas usually fall on?
a)
340
b)
350
c)
359
d)
360
46.
In the early 1800's, the gingerbread house was inspired by what fairy tale?
a)
Goldy Locks
b)
Hansel and Gretel
c)
The Princess and the Gumdrop
d)
The Nutcracker
47.
According to the folklore of Austria and other countries, what horned figure punishes naughty children at Christmastime?
a)
Father Christmas
b)
Ebenezer Scrooge
c)
Krampus
d)
Santa Claus
48.

What is the biggest Christmas gift ever given?

a)

the Titanic

b)

the Statue of Liberty

c)

the Eiffel Tower

d)

a house

49.

How many nights is the celebration of Hanukkah?

a)

5

b)

6

c)

7

d)

8

50.

On what day does Kwanzaa begin?

a)

December 1

b)

December 15

c)

December 25

d)

December 26

51.

Who sings "All I want for Christmas is you"?

a)

Whitney Houston

b)

Mariah Carey

c)

Christina Aguilera

d)

Amy Grant

52.

Diwali is a Hindu celebration known as...

a)

The Fesitval of Gifts

b)

The Festival of Lights

c)

The Festival of the Gods

d)

The Festival of Sweets

53.

Identify the holiday. People decorate with lights and ornaments

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

54.

Identify the holiday. Celebrated on December 25th .

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

55.

Identify the holiday. Originated in Africa.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

56.

Identify the holiday. Last for 7 days.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

57.

Identify the holiday. People eat potato latkes.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

58.

Identify the holiday. People light a menorah.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

59.

Identify the holiday. Each day represents a different principle like unity, creativity, and faith.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

60.

Identify the holiday. Children receive gifts on each of the 8 days.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

61.

Identify the holiday. It began in 1966 by Dr. Maulana Karenga.

a)

Christmas

b)

Hanukkah

c)

Kwanzaa

62.

What holiday is celebrated in Mexico?

a)

Las Posadas

b)

Diwali

c)

Le Reveillon

d)

St. Lucia’s Day

63.

What continent is Mexico in?

a)

Antarctica

b)

Africa

c)

North America

d)

South America

64.
Las Posadas are celebrated from...
a)
December 16 - January 16
b)
December 16 - December 24
c)
December 24 - December 25
d)
December 16 only
65.
Las Posadas last for...
a)
4 days
b)
9 days
c)
30 days
d)
1 day
66.
posada means...
a)
party
b)
inn/shelter
c)
Christmas
d)
presents
67.
reyes magos means...
a)
three kings
b)
royal magicians
c)
really muggy
d)
rays of muggles
68.
Many people in which country celebrate Diwali?
a)
NZ
b)
Australia
c)
United States of America
d)
India
69.

Diwali is the ______New Year Festival

a)

Christian

b)

Jewish

c)

Muslim

d)

Hindu

70.

The name of Diwali comes from which language?

a)

Chinese

b)

Russian

c)

Sanskrit

d)

Arabic

71.
How long does the Diwali festival last for?
a)
1 day
b)
5 days
c)
2 weeks
d)
1 month
72.

Which of the following holidays does not occur in Winter?

a)

Kwanzaa

b)

Soyal

c)

Canadian Thanksgiving

d)

Yule

73.

For how many months will the average grizzly bear hibernate?

a)

1-3 months

b)

3-5 months

c)

5-7 months

d)

8-10 months

74.

Which of the following is an old tradition of Yule?

a)
b)

c)

d)

75.

The yule log tradition originates back to ancient Paganism which is roughly located where?

a)

Scandanavia and Celtic Regions

b)

Western Europe Region

c)

Russian Regions

d)

Eastern Europe Regions

76.

In Medieval times the yule logs were burnt for how many days?

a)

12

b)

7

c)

10

d)

1

77.

Yule logs were burned to celebrate which solstice?

a)

Summer

b)

Autumn

c)

Winter

d)

Spring

78.

What is the Yule Bakken?

a)

reindeer

b)

Christmas

gnome

c)

Christmas horse

d)

Yule goat

79.
Which country started the tradition of the Christmas tree?
a)
Germany
b)
India
c)
Florida
d)
Canada
80.
In Costa Rica, boys and girls eat _______________ on Christmas.
a)
pizza
b)
tamales
c)
hamburgers
d)
chicken nuggets