Free Printable Exponential Functions Review

1.

Does the graph represent an exponential growth or an exponential decay function?

a)

Exponential Growth

b)

Exponential Decay

2.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

3.

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

4.

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%

5.

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. Suppose f(20) = 49. Which of the following is true?

a)

After 20 days, there are 49 ants in the colony.

b)

After 49 days there are 20 ants in the colony.

c)

The amount of ants times 20 is 49.

d)

After 20 days the amount of ants remaining decreases by 49.

6.

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

7.

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

8.

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

9.

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.

10.

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.

11.

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

12.

Simplify the expression x(3x)²

a)

3x²

b)

9x²

c)

3x² + x

d)

9x³

13.

Is the graph exponential growth or decay?

a)

Exponential growth

b)

Exponential decay

14.

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

15.

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

16.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

17.

What type of pattern do linear functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

18.

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

a)

Input

b)

Rate of change

c)

Y-intercept/Initial value

d)

Output

19.

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

a)

Input

b)

Rate of change

c)

Y-intercept

d)

Output

20.

In the linear equation, y = mx + b, the letter b is the ___________.

a)

y-intercept/initial value

b)

x-intercept

c)

slope

d)

rate of change

21.

In the linear equation, y = mx + b, the letter m is the ___________.

a)

y-intercept/initial value

b)

x-intercept

c)

slope/rate

d)

multiplier

22.

In the linear equation, y = mx + b, the letter m is the ___________.

a)

y-intercept/initial value

b)

x-intercept

c)

slope/rate

d)

multiplier

23.

Which equation is represented by the table?

a)

y = 40(2)^x

b)

y = 40(1/2)^x

c)

y = 40 - 2x

d)

y = 40 - 1/2x

24.

Write the function for the following table:

a)

f(x) = 5x + .08

b)

f(x)= 5x + 2

c)

f(x) = .08(5)^x

d)

f(x)= 2(5)^x

25.

Write the function for the following table:

a)

f(x)= 1(2)^x

b)

f(x)= 2(1)^x

c)

f(x) = 2x+1

d)

f(x)= x+2

26.

Which table represents the following equation?

a)

b)

c)

d)

27.

Write an equations that models the data shown.

a)

$y=3x+6$

b)

$y=3\cdot2^x$

c)

$y=2x+3$

28.

What is the graph of the function

y=5\cdot2^x

a)

b)

c)

d)

29.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

$f\left(x\right)=2x+1600$

b)

$f\left(x\right)=1600\times2$

c)

$f\left(x\right)=1600\cdot2^x$

30.

The function

f(x)=1600\cdot2^x

gives the number of insects after x years. How many insects were there initially?

a)

1600

b)

2

c)

There is not enough information to tell.

31.

Suppose the population of a species of insects doubles every year. The function $f\left(x\right)=1600\left(2\right)^x$ gives the number of insects after x years.

How many insects will there be after 3 years?

a)

9600

b)

12,800

c)

200

d)

8000

32.

Use the function $n\left(t\right)=14000\left(.96\right)^t$ Where n is the number of employees and t is the number of years.

How many employees will there be after 3 years?

a)

14,000 employees

b)

12,386 employees

c)

40,360 employees

d)

15,748 employees

33.

Is this exponential growth or decay?

a)

Growth

b)

Decay

34.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

35.

Is this exponential growth or decay?

a)

Growth

b)

Decay

36.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

37.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

38.

Is y = -5(4)^x growth or decay?

a)

Growth

b)

Decay

39.

Is y = 54(.20)^x growth or decay?

a)

Growth

b)

Decay

40.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

41.

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

a)

$415

b)

$463.71

c)

$343.49

d)

$460.12

42.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

43.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

a)

$800

b)

$8367.70

c)

$6600

d)

$25,707.36

44.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

45.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

46.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

47.

Pick the equation that is exponential growth

a)

y=2(0.5)^x

b)

y = 0.5(2)^x

48.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

49.

What type of function is

$f\left(x\right)=\left(\frac{1}{7}\right)^x$

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

50.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

(HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

51.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

a)

$f\left(x\right)\ =\ 30,000\left(1\ +\ 0.05\right)^t$

b)

$f\left(x\right)\ =\ 30,000\left(1\ -\ 0.05\right)^t$

52.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

53.

An experiment begins with 20 grams of a radioactive isotope. This isotope has a half-life. If y is the mass in grams remaining after x half-lives have elapsed, which equation represents the amount of grams the isotope will weigh after 4 half-lives?

a)

$y=20\left(2\right)^4$

b)

$y=4\left(20\right)^{\frac{1}{2}}$

c)

$y=20\left(\frac{1}{2}\right)^4$

d)

$y=20\left(4\right)^{\frac{1}{2}}$

54.

The number of turkey vultures in a nature sanctuary is doubling each year. When the sanctuary opened, it was home to 204 turkey vultures. Which equation can be used to find the number of turkey vultures after x years?

a)

$y=204\left(x\right)^2$

b)

$y=2\left(204\right)^x$

c)

$y=204\left(2\right)^x$

d)

$y=x\left(2\right)^{204}$

Exponential Functions Review

Total questions: 54

Worksheet time: 3hrs 38mins

Similar Resources on Wayground