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inverse function and trivia

Total questions: 179

Worksheet time: 4hrs 28mins

Name
Class
Date
1.

Determine the inverse for the function:

P (x) = 2x2 + 1

a)

P-1(x) = x212\frac{x^2-1}{2}  

b)

P-1(x) = x2+12\frac{x^2+1}{2}  

c)

P-1(x) = x12\sqrt[]{\frac{x-1}{2}}  

d)

P-1(x) = x+12\sqrt[]{\frac{x+1}{2}}  

2.

Determine the inverse for the function:

R (x) = 2x + 1

a)

R-1(x) = x12\frac{x-1}{2}  

b)

R-1(x) = x+12\frac{x+1}{2}  

c)

R-1(x) = x3x-3  

d)

R-1(x) = x +3x\ +3  

3.

Determine the inverse for the function:

Q(x) = 2x 74\frac{2x\ -7}{4}  

a)

Q-1(x) = 2x47\frac{2x-4}{7}  

b)

Q-1(x) = 4x+72\frac{4x+7}{2}  

c)

Q-1(x) = 7x 24\frac{7x\ -2}{4}  

d)

Q-1(x) = 2x +47\frac{2x\ +4}{7}  

4.

Determine the inverse for the function:

S (x) = 2x2 74\frac{2x^2\ -7}{4}  

a)

S-1(x) = 2x47\frac{2x-4}{7}  

b)

S-1(x) = 4x+72\frac{4x+7}{2}  

c)

S-1(x) = 4x+72\sqrt[]{\frac{4x+7}{2}}  

d)

S-1(x) = 

2x+74\sqrt[]{\frac{2x+7}{4}}  

5.

Determine the inverse for the function:

T(x) =   6x  76x\ -\ 7  

a)

T-1(x) = x76\frac{x-7}{6}   

b)

T-1(x) =   x+76\frac{x+7}{6}  

c)

T-1(x) =   7x 67x\ -6  

d)

T-1(x) =  7x +67x\ +6  

 

6.

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)

7.

Are these inverse functions?

a)

yes

b)

no

8.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

9.

Are these functions inverses?

a)

Yes

b)

No

10.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
11.

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

a)
b)
c)
d)
12.

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}

13.

Find the inverse of  f(x)=4xf(x)=4x  

a)

f1(x)=x4f^{-1}(x)=\frac{x}{4}

b)

f1(x)=4f^{-1}(x)=4

c)

f1(x)=14f^{-1}\left(x\right)=\frac{1}{4}

14.

Find the inverse of  f(x)=x53f(x)=\frac{x-5}{3}  

a)

f1(x)=35+xf^{-1}(x)=\frac{3}{5}+x

b)

f1(x)=3x+5f^{-1}(x)=3x+5

c)

f1(x)=5x+3f^{-1}(x)=5x+3

15.

Find the inverse of  f(x)=2x+1f(x)=2x+1  

a)

f1(x)=2xf^{-1}(x)=2x

b)

f1(x)=x12f^{-1}(x)=\frac{x-1}{2}

c)

f1(x)=2f^{-1}(x)=2

16.

Find the inverse of  f(x)=3x+2f(x)=3x+2  

a)

f1(x)=3x2f^{-1}(x)=3x-2

b)

f1(x)=2+3xf^{-1}(x)=2+3x

c)

f1(x)=x23f^{-1}(x)=\frac{x-2}{3}

17.

The inverse of f(x)=8x+30f(x)=8x+30  is f1(x)=830f^{-1}(x)=\frac{8}{30}  .

a)

True

b)

False

18.

The inverse of f(x)=x+30f(x)=x+30   is  f1(x)=x30f^{-1}(x)=x-30  .

a)

True

b)

False

c)

I have no idea how to do this.

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.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
21.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

22.
Was the inverse function found correctly?
a)
no,
b)
yes
23.
Find the inverse of
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
24.
Find the inverse of the function
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=(x+5)/3
c)
f-1(x)=3y-5
d)
f-1(x)=3y+5
25.
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
26.

If f(x)=x+5, what is f-1(x)?

a)

(x + 5)2

b)

x - 5

c)

(x + 5)-1

d)

undefined

27.

If f(x)=3x, what is f-1(x)?

a)

x/3

b)

3x2

c)

3x + 3x

d)

3x-1

28.

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

a)

f(g(x)) = 1

b)

f(g(x)) = x

c)

f(g(x)) = 0

d)

None of these.

29.
a)

Inverse Functions

b)

Not Inverse Functions

30.
a)

Inverse Functions

b)

Not Inverse Functions

31.
a)

Inverse Functions

b)

Not Inverse Functions

32.
a)
Inverse Functions
b)
Not Inverse Functions
33.

What operation allows us to verify if functions are inverses?

a)

Multiplying

b)

Dividing

c)

Adding

d)

Composing

34.

What does an inverse function do?

a)

Nothing

b)

Makes it bigger

c)

Does the opposite of the original function

35.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
36.

What comes down but never goes up?

a)

Storm

b)

Wind

c)

Rain

d)

Water

37.

What has one head, four legs but no wings?

a)

A bed

b)

A cow

c)

A chicken

d)

A chair

38.

April's father has four children - May, June, July and ....

a)

August

b)

September

c)

April

d)

January

39.

What begins with an 'E' and ends with 'E' but only has one letter? a / an .....

a)

Embrace

b)

Earache

c)

Elegance

d)

Envelope

40.

What can run fast but can't walk?

a)

Horse

b)

Fire

c)

Rabbit

d)

Water

41.

What can travel around the world while staying in a corner?

a)

A stamp

b)

A tourist

c)

An envelope

d)

A book

42.

I'm tall when I'm young and I'm short when I'm old. What am I ?

a)

A pen

b)

A window

c)

A knife

d)

A candle

43.

What two things can you never eat for breakfast?

a)

Lunch and dinner

b)

Meetball and eggs

c)

Snack and dessert

d)

Maincourse and dessert

44.

What has a face and two hands but no arms or legs?

a)

Door

b)

Chair

c)

Clock

d)

Phone

45.

What kind of tree can you carry in your hand?

a)

A maple

b)

A palm

c)

A coconut tree

d)

An Acacia

46.

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I? 

(a)  

47.

What disappears when u say its name?

(a)  

48.

First, think of the color of the clouds. Next, think of the color of snow. Now, think of the color of a bright full moon. Now answer quickly what do cows drink?

a)

water

b)

milk

c)

juice

49.

A is the brother of B. B is the brother of C. C is the father of D. So how is D related to A?

(a)  

50.

What has a head and a tail but no body?

(a)  

51.

Three different doctors said that Paul is their brother yet Paul claims he has no brothers. Who is lying?

a)

nobody

b)

the doctors

c)

paul

52.

What can you hold in your right hand, but never in your left hand?

(a)  

53.

What English word has three consecutive double letters? 

(a)  

54.

Which word in the dictionary is always spelled incorrectly?

(a)  

55.

Is it legal for a widow’s husband to marry his wife’s sister?

a)

No

b)

Yes

c)

Its not possible

56.

My letter comes before L and after J . What's my letter?

a)

H

b)

L

c)

K

d)

M

57.

I'm very big and brown. I eat honey and berries. What am I?

a)
b)
c)
d)
58.

What has to be broken before you can use it?

a)

A bottle

b)

An egg

c)

A glass

d)

A cup

59.

I am green. People step on me.I get cut. What am I?

a)
b)
c)
d)
60.

Mary's father has five daughters, Nana, Nene, Nini, Nono. What is the fifth daughter's name?

a)

Nino

b)

Nunu

c)

Nane

d)

Mary

61.

I am a vehicle. I have no wheels or wings. I can float. What am I?

a)
b)
c)
d)
62.

I lay eggs. I have feathers. I can fly. What am I?

a)
b)
c)
d)
63.

What is the fourth day of the week?

a)

Monday

b)

Wednesday

c)

Friday

d)

Thursday

64.

My colour is yellow. I twinkle and I can be seen at night. What am I?

a)
b)
c)
d)
65.

The picture of the Indonesian president is..

a)
b)
c)
d)
66.

What belongs to you but others use it more.

a)

picture

b)

phone

c)

name

d)

food

e)

ipad

67.

I am a 5 letter word. Take away the first letter and I am a place's name. Take away the first two letters and I become the opposite of the 5 letter word. Who am I?

a)

dad

b)

woman

c)

apple

d)

bye

e)

children

68.
What walks on four feet in the morning, two in the afternoon and three at night? 
a)
Human
b)
Dog
c)
........
d)
A building
69.

What comes down but never goes up?

a)

Storm

b)

Wind

c)

Rain

d)

Water

70.

What begins with an 'E' and ends with 'E' but only has one letter? a / an .....

a)

Embrace

b)

Earache

c)

Elegance

d)

Envelope

71.

I'm tall when I'm young and I'm short when I'm old. What am I ?

a)

A pen

b)

A window

c)

A knife

d)

A candle

72.

You can drop me from the tallest building and I'll fine. But if you drop me into water I die. What am I?

a)

Paper

b)

Stamp

c)

Glass

d)

T shirt

73.

What kind of tree can you carry in your hand?

a)

A maple

b)

A palm

c)

A coconut tree

d)

An Acacia

74.

How many persons are there in the picture?

a)

4 persons

b)

5 persons

c)

2 persons

d)

7 persons

75.

If you have a bowl with six apples and you take four, how many do you have?

a)

Four

b)

Five

c)

Six

d)

None

76.

What get's wet while drying

(a)  

77.

what has a head and a tail but no body

(a)  

78.

which word in the dictionary is spelled incorrectly

(a)  

79.

you see me once in june, twice in september but never in may.

(a)  

80.

what has hands but can't clap

(a)  

81.

which is heavier:a ton of bricks or a ton of feathers.

(a)  

82.

what two things can you never eat for breakfast

(a)  

83.

what has legs but doesnt walk

(a)  

84.

I'm tall when I'm young and I'm I'm short when I'm old

(a)  

85.

if you are running in a race and you pass the person in the second place, which place are you in

(a)  

86.

I am an odd number. take away a letter and i become even. what number I'm I

(a)  

87.

what is the end of everything.

(a)  

88.

What is always infront of you but can't be seen

(a)  

89.

What has to be broken before you can use it?

a)

An egg

b)

An ball

c)

A ballons

d)

Nothing

90.

I’m tall when I’m young, and I’m short when I’m old. What am I?

a)

A candle

b)

A chopstick

c)

A knife

d)

Nothing

91.

What month of the year has 28 days?

a)

All of them

b)

February

c)

Nothing

92.

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

a)

He was bad

b)

He was bald.

c)

Nothing

93.

What can you keep after giving to someone?

a)

Your word

b)

Your laugh

c)

Your pen

d)

Nothing

94.

A man dies of old age on his 25 birthday. How is this possible?

a)

He was born on 25

b)

He was born on February 29.

c)

Nothing

95.

The more you take, the more you leave behind. What am I?

a)

Footsteps

b)

Fingerprint

c)

Shoes

d)

Nothing

96.

What has a head, a tail, is brown, and has no legs?

(a)  

97.

David's father has three sons: Snap, Crackle, and _____?

a)

I don't know this

b)

Nothing

c)

His dad

d)

No answer in this choice

98.

Can you name three consecutive days without using the words Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday?

a)

Week day

b)

Yesterday, Today, and Tomorrow

c)

Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday

d)

Nothing

99.
What has roots as nobody sees,
Is taller than trees,
Up, up it goes,
And yet never grows?
a)
A beanstalk
b)
A building
c)
A mountain
100.
A box without hinges, key, or lid,
Yet golden treasure inside is hid.
a)
A shell
b)
A drawer
c)
An egg
101.

The more you take the more you leave behind. What am I?

a)

rude

b)

walker

c)

footsteps

d)

rain

102.

What comes once in a minute, twice in a moment, but never in a thousand years?

a)

the letter 'm'

b)

a second

c)

a millisecond

103.

What room do ghosts avoid?

a)

The spooky one

b)

The alive room

c)

the living room

d)

the light room

104.

What goes up but never comes down?

a)

Your age

b)

Nothing

c)

The place your in now

d)

I dont know

105.

What comes down but NEVER goes up?

a)

Rain

b)

I don't know

c)

The place your in now

d)

Nothing

106.

What did one potato chip say to the other?

a)

Shall we go for a dop

b)

Huh

c)

This makes no sense

d)

Shall we go for a dip

107.

What has a head, a tail, is brown, and has no legs?

a)

Sammy

b)

Dog

c)

Human

d)

Coin

108.
What walks on four feet in the morning, two in the afternoon and three at night? 
a)
Human
b)
Dog
c)
........
d)
A building
109.

She asked him a tricky ____________.

a)

riddl

b)

ridle

c)

riddle

d)

riddel

110.

They were ____________ to find their dog.

a)

abel

b)

able

c)

abbel

d)

abble

111.

The ____________ flower was very pretty!

a)

perpel

b)

purpel

c)

perple

d)

purple

112.

They needed to finish the ____________.

a)

puzzle

b)

puzel

c)

puzzel

d)

puzle

113.

The ____________ on the dresser was broken.

a)

handdel

b)

handel

c)

handdle

d)

handle

114.

The _________ was flying in the sky.

a)

eagle

b)

eagel

c)

egel

d)

eggle

115.

The __________ was very sour.

a)

pickel

b)

pickle

c)

picle

d)

picel

116.

They built a ____________ with the Lego set.

a)

castle

b)

castel

c)

cassel

d)

casel

117.

They had to show a ____________ more effort.

a)

litel

b)

littel

c)

litle

d)

little

118.

The ____________ walked along the path.

a)

camel

b)

camle

c)

cammel

d)

cammle

119.

The ____________ was soaking wet.

a)

touell

b)

towle

c)

towel

d)

touel

120.

He was going to give them a ____________.

a)

nikle

b)

nikel

c)

nickle

d)

nickel

121.

She needed to give the ____________ a nut.

a)

squirrle

b)

squirel

c)

squirrel

d)

squirle

122.

They needed to ____________ a little bit more.

a)

traveel

b)

travele

c)

travle

d)

travel

123.

The car was driving through a ____________.

a)

tunnle

b)

tunel

c)

tunnel

d)

tunle

124.

What princess has snow powers and a predilection toward musical ballads?

a)

Snow White

b)

Elsa

c)

Kristoff

d)

Abu

125.

What red race car likes to say "Kachow"?

a)

Lightning McQueen

b)

Terrence

c)

Dory

d)

Madder

126.

In what town does grandma and grandpa live?

a)

Utah

b)

Fountain Green

c)

The fish hatchery

d)

The north pole

127.

How many animals does grandpa have mounted in his house?

a)

5

b)

10

c)

2

d)

7

128.

What letter comes right after S in the alphabet?

a)

T

b)

A

c)

V

d)

E

129.

During what holiday do we celebrate Jesus's birth?

a)

Easter

b)

Christmas

c)

Thanksgiving

d)

On his birthday

130.

What is the hottest season of the year?

a)

Spring

b)

Summer

c)

Fall

d)

Winter

131.

What does  2+3=2+3=  

a)

5

b)

4

c)

2

d)

6

132.

Who is the oldest?

a)

Kameron

b)

Tyrel

c)

Calliane

d)

Olivia

133.

The characters Simba, and Nala appear in what movie?

a)

The Lion King

b)

The Little Mermaid

c)

Onward

d)

Trolls World Tour

134.

Princess Peach rules the kingdom where super Mario lives.

a)

Bowser's Kingdom

b)

Mushroomland

c)

Mushroom Kingdom

d)

Super Mario Land

135.

What cartoon is about a cat and dog that share a body?

a)

Dogcat

b)

Cat-o-Doggia

c)

Cat and Dog

d)

Catdog

136.

What part of the plant is a carrot?

a)

Leaf

b)

Root

c)

Stem

d)

Flower

137.

What number comes next 1, 5, 9, 13, ___, ____.

a)

14, 18

b)

17, 21

c)

13, 14

d)

17, 22

138.

Name this character?

a)

Timmy Turner

b)

Jimmy Jurner

c)

Mikey Sooner

d)

Tim Drake

139.

All these animal have something in common except one. Which one does not belong?

a)
b)
c)
d)
140.

Which dinosaur had large bony plates on its back?

a)

Tyrannosaurus Rex

b)

Velociraptor

c)

Stegosaurus

d)

Brontosaurus

141.

Who is this?

a)

Grumpy

b)

Dock

c)

Bashful

d)

Dopey

142.

Which president is on the 5 cent nickel?

a)

Abraham Lincoln

b)

George Washington

c)

Joe Biden

d)

Thomas Jefferson

143.

All these shapes have something in common but one. Which shape does not belong?

a)
b)
c)
d)
144.

Which one is the fastest vehicle?

a)

Train

b)

Ship

c)

Airplane

d)

Car

145.

What is the name of this character?

a)

Huckleberry Hound

b)

Wile E. Coyote

c)

The Dog

d)

Wilee Coyote

146.

Which bird cannot fly?

a)

Ostrich

b)

Owl

c)

Peacock

d)

Crane

147.

In what order will you see the colors from the top view?

a)
b)
c)
d)
148.

Who is Minnie Mouse dressed up as?

a)

Snow White

b)

Cinderella

c)

Ariel

d)

Esmerelda

149.

All these body parts have something in common but one. Which one does not belong?

a)
b)
c)
d)
150.

Name this character?

a)

Paddington Bear

b)

Pooh Bear

c)

Grizzly Bear

d)

Velveteen Bear

151.

What colour is Winnie the Pooh's top?

a)

Blue

b)

Red

c)

Pink

d)

Brown

152.

What are the names of the three sisters from Despicable Me?

a)

Mary, Edna, Angie

b)

Margo, Edith, Agnes

c)

Matilda, Edith, Agnes

d)

Malory, Edi, Aurora

153.

Who couldn't put Humpty Dumpty back together again?

a)

Humpty Dumpty

b)

His best friend

c)

All of his friends

d)

All the king's men

154.

In the nursery rhyme Jack and Jill, what do Jack and Jill go up the hill to fetch?

a)

A pail of water

b)

A jar of jam

c)

A bucket of berries

d)

A pail of milk

155.

What type of fish is Nemo?

a)

A clownfish

b)

A flounder

c)

A regal tang

d)

A beta fish

156.

What is the name of the pirate in Peter Pan?

a)

Captain Crook

b)

Blackbeard

c)

Captain Hook

d)

Jack Sparrow

157.

What is the name of Harry Potter's pet owl?

a)

Crookshanks

b)

Hedwig

c)

Harry Jr.

d)

Hagrid

158.

What is the largest living mammal in the world?

a)

Blue Whale

b)

Elephant

c)

Mouse

d)

Hippo

159.

Who was the 2nd American President?

a)

George Washington

b)

John Adams

c)

Franklin Delano Roosevelt

d)

Barack Obama

160.

Which of these cards is from the game, "Magic the Gathering?"

a)
b)
c)
d)
161.

Which country gave the United States the Statue of Liberty?

a)

France

b)

Spain

c)

England

d)

Rome

162.

Which is the largest Continent?

a)

Asia

b)

Europe

c)

Africa

d)

South America

163.

Pascal is a character in which animated movie?

a)

Frozen

b)

Tangled

c)

Zootopia

d)

Bugs Life

164.

What are baby puffins called?

a)

Chicks

b)

Pufflings

c)

Pups

d)

Babies

165.

This is the logo for which NFL team?

a)

Chargers

b)

Bears

c)

Lightning

d)

Saints

166.

This is the logo for which car company?

a)

Ford

b)

Mercedes

c)

Volkswagon

d)

Honda

167.

What is the 8th month of the year?

a)

August

b)

January

c)

July

d)

October

168.

The Great Barrier Reef is located of the coast of which country?

a)

Australia

b)

China

c)

South Africa

d)

Costa Rica

169.

What Logo is This?

(a)  

170.

What are the names of the cars?

a)

Porsche

b)

Volvo

c)

Tesla

d)

Dodge

e)

Shelby

171.

What car has Autopilot?

a)

Tesla

b)

Dodge

c)

Chrysler

d)

Honda

172.

Is a Shelby and related to a Ford Mustang?

a)

Yes and True

b)

No and False

173.

What car brand has the most models?

a)

Chevrolet

b)

Volkswagen

c)

Nissan

d)

Honda

174.

What car is this

a)

lambo

b)

Lamborghini Hurracan

c)

Lamborghini Elemento

d)

Lamborghini Aventadoor`

175.

What car is This

a)

Toyota Frs

b)

Toyota Supra

c)

Toyota Camry

d)

Toyota Corolla

176.

What car brand is this

a)

Renault

b)

Buick

c)

Holden

d)

Ford

177.

When did Ford start creating mustangs

a)

1945

b)

1978

c)

1964

d)

1901

178.

What car brand is this

a)

Chevy

b)

KIA

c)

Ford

d)

Dodge

179.

What car is this?

a)

Mercedes G Wagon

b)

Mustang

c)

Mercedes GLC

d)

Mercedes Benz