Free Printable Exponential Functions Review + Random Stuff

1.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

2.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

3.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

4.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

5.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

6.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

7.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

8.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

9.

True or False: This is an exponential function.

a)

True

b)

False

10.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

11.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -4

b)

y > -4

c)

y < -4

d)

(0, -3)

12.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -2

b)

y > -2

c)

y < -2

d)

(0, -2)

13.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = 1

b)

y = 2

c)

y > 1

d)

(0, 2)

14.

solve for x.

$2^x=2^{3x-4}$

a)

2

b)

-2

c)

1/2

d)

4/3

15.

solve for x.

$11^4=11^{-x}$

a)

-4

b)

4

c)

1/4

d)

-1/4

16.

Solve the following exponential equation:
$9^{8-x}=27^{x-3}$

a)

$x=5$

b)

$x=-5$

c)

$x=\frac{1}{5}$

d)

$x=-\frac{1}{5}$

17.

solve for x.

$3^{2x-1}\cdot3^4=3$

a)

1/2

b)

5/8

c)

-1

d)

8/5

18.

Solve for p:
4^p+2 = 64

a)

-16/9

b)

1

c)

8

d)

7/6

19.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

20.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

21.

The value of a new video game is $40. The value is expected to decrease by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

22.

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

23.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

24.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

a)

87%

b)

13%

c)

800%

d)

8.7%

25.

The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 5^1.5d
How many downloads will the album have after 3 days?

a)

125

b)

11

c)

1398

d)

140

26.

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

a)

$0.29

b)

$2,900,000,000

c)

$46,704.79

d)

$145,000

27.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

a)

Increasing

b)

Decreasing

28.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

a)

The predicted increase in number of elephants in the refuge each year.

b)

The predicted decrease in number of elephants in the refuge each year.

c)

The number of years it will take for the elephant population to stop increasing.

d)

The initial amount of elephants in the park.

29.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

a)

The number of elephants was 1,015 in 1975.

b)

The number of elephants increases by 1.5% each year.

c)

The number of elephants increases by 101.5% each year.

d)

The number of elephants is multiplied by 1.015 each year.

30.

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

a)

5.4 mg

b)

68.6 mg

c)

.0054 mg

d)

2,400,000 mg

31.

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

a)

Exponential growth

b)

Exponential decay

c)

Linear

d)

None of the above

32.

Is the following function exponential growth, exponential decay, linear, or none of the above?
p(x) = 13x - 5

a)

Exponential growth

b)

Exponential decay

c)

Linear

d)

None of the above

33.

Which function represents the table of values?

a)

$f\left(x\right)=4x$

b)

$f\left(x\right)=x^4$

c)

$f\left(x\right)=4^x$

d)

$f\left(x\right)=4^{x-1}$

34.

Write the function for the following table:

a)

$f(x)=5x+.08$

b)

$f(x)=5x+2$

c)

$f(x)=2(5)^x$

35.

What is the domain for this function

a)

All real numbers

b)

$y=0$

c)

$y>0$

36.

What is the range for this function

a)

All real numbers

b)

$y=0$

c)

$y>0$

37.

What is the asymptote for this function?

a)

All real numbers

b)

$y=0$

c)

$y>0$

38.

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

(a)

39.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

Write your answers in two decimal places.

(a)

40.

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponential function to find the population of the town after 5 years.

(a)

41.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.

Round to two decimal places (like money).

(a)

42.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

Write your answers in two decimal places.

(a)

43.

Use the exponential regression to find an equation that fits the data, where x is the years since 1990.

a)

y=8.92•1.23^x

b)

y=1.23•8.92^x

c)

y=8.92+1.23x

d)

y=8.92x+1.23

44.

Which type of regression model does the scatter plot appear to show?

a)

linear

b)

exponential

c)

quadratic

45.

a)

x > 0

b)

y > 0

c)

-∞ < x < ∞

d)

-∞ < y < ∞

46.

Write the exponential regression equation for this data.

a)

Y = 8.16(2.7)^X

b)

Y = 81.6(2.7)^X

c)

Y = 8.16(.27)^X

d)

Y = 8.16(27)^X

47.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

48.

In "Sleeping Beauty," what is the name of Maleficent’s pet raven?

a)

Mauvais

b)

Diablo

c)

Malum

d)

Diable

49.

a)

Toy Story 1

b)

Toy Story 2

c)

Toy Story 3

d)

Toy Story 4

50.

In "The Little Mermaid," who is NOT one of Triton’s daughter?

a)

Alana

b)

Adora

c)

Andrina

d)

Attina

51.

How did Zemo get the Captain America and Iron Man to turn on each other?

a)

He revealed the Winter Soldier killed Iron Man's parents

b)

He got them to fight in the civil war between Avengers

c)

He created Ultron and tried to destroy the world

d)

He had a mind stone and used it control their minds

52.

"To infinity and beyond!"

a)

Toy Story

b)

Luca

c)

The Incredibles

d)

Brave

53.

"Jack, I'm flying!

a)

Avatar

b)

Avatar the Legend of Aang

c)

Titanic

d)

Aviator

54.

"May the Force be with you"

a)

Star Trek

b)

Harry Potter

c)

Star Wars

d)

Lord of the Rings

55.

“My precious.”

a)

Voldemort

b)

Fast and Furious

c)

Captain America

d)

Lord of the Rings

56.

“Just keep swimming.”

a)

Finding Nemo

b)

Frozen

c)

The Lion King

d)

Toy Story

57.

"Do you want to build a snowman?"

a)

Snow white

b)

Frozen

c)

Winnie the Pooh

d)

Dumbo

58.

"I could do this all day"

a)

Thor

b)

Iron Man

c)

Hulk

d)

Captain America

59.

"Why so serious?"

a)

Superman

b)

Joker

c)

Thor

d)

Loki

60.

"I volunteer as tribute."

a)

The Hunger Games

b)

Divergent

c)

The Maze Runner

d)

Twilight

61.

"I'm just Ken"

a)

The Little Mermaid

b)

Rapunzel

c)

Fast and Furious

d)

Barbie

62.

Oh no, it wasn't the airplanes---it was beauty killed the beast.

a)

Beauty and the Beast

b)

King Kong

c)

The Princess Bride

d)

Nightmare Before Christmas

63.

Open the pod bay doors, HAL.

a)

When Harry Met Sally

b)

2001, A Space Odyssey

c)

It Happened One Night

d)

Sleepless in Seatle

64.

I'm sorry, the position of annoying talking animal has already been taken.

a)

Up

b)

Shrek 2

c)

Shrek

d)

Frozen

65.

Show me the money!

a)

Jerry Maguire

b)

The Greatest Showman

c)

Bonnie and Clyde

d)

Cool Hand Luke

66.

It's not the years, honey, it's the mileage.

a)

The Fast and the Furious

b)

Ben Hur

c)

Raiders of the Lost Ark

d)

Moonlight

67.

I'm gonna give him an offer he can't refuse.

a)

Joker

b)

Judy

c)

The Godfather

d)

Black Panther

68.

There' no crying in baseball.

a)

42

b)

Pride of the Yankees

c)

The Natural

d)

A League of their Own

69.

Let it go, let it go, can't hold back anymore!

a)

Brave

b)

The Wizard of Oz

c)

Up

d)

Frozen

70.

Between the Williams' sisters, who has won more Grand Slam titles?

a)

Venus

b)

Serena

71.

What country did legendary soccer player Pele play for?

a)

Nigeria

b)

Spain

c)

Argentina

d)

Brazil

72.

The Olympics are held in every __ years?

a)

3

b)

4

c)

5

d)

6

73.

What type of race is the Tour de France?

a)

Motorcycle race

b)

Bicycle race

c)

Car race

d)

Running

74.

Which NFL team has no logo on its helmet?

a)

Bengals

b)

Lions

c)

Chiefs

d)

Browns

75.

Which NFL team used be known as the Oilers?

a)

Jaguars

b)

Buccaneers

c)

Broncos

d)

Titans

76.

In bowling, if the bowler is able to knock down all 10 pins with the two balls of a frame, it is known as a _________?

a)

strike

b)

gutter ball

c)

scratch

d)

spare

77.

Who am I

a)

Mike Tyson

b)

Floyd Mayweather

c)

Sugar Ray Robinson

d)

Muhammad Ali

78.

During which inning is "Take Me Out to the Ballgame" traditionally sung?

a)

1st inning

b)

7th inning

c)

5th inning

d)

9th inning

79.

What do you call it when a Bowler makes three strikes in a row?

a)

A ham

b)

A turkey

c)

A spare

d)

A triple score

80.

Who won the super bowl in 2002

a)

Patriots

b)

Chargers

c)

Raiders

d)

Broncos

e)

Chiefs

81.

WHO AM I

a)

Lionel Messi

b)

Cristiano Ronlado

c)

Dos Santos

d)

Neymar

82.

Which type of throw is pictured here?

a)

thumber

b)

tomahawk

c)

forehand

d)

backhand

83.

What kind of throw is pictured here?

a)

thumber

b)

tomahawk

c)

forehand

d)

backhand

84.

In disc golf, the target is called a basket.

a)

True

b)

False

Exponential Functions Review + Random Stuff

Total questions: 84

Worksheet time: 7hrs 55mins

Thor

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