Free Printable Alg 2 Exponential Functions Review

1.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

2.

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

3.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

4.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

5.

Is this exponential growth or decay?

a)

Growth

b)

Decay

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.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

8.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

9.

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

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

10.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

11.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

12.

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

a)

(.27)^x

b)

.27

c)

13

d)

3.51

13.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

14.

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

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

15.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

16.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

17.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

18.

True or False: This is an exponential function.

a)

True

b)

False

19.

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)

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

20.

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

a)

y = -4

b)

y > -4

c)

y < -4

d)

(0, -3)

21.

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

a)

y = -2

b)

y > -2

c)

y < -2

d)

(0, -2)

22.

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

a)

y = 1

b)

y = 2

c)

y > 1

d)

(0, 2)

23.

solve for x.

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

a)

2

b)

-2

c)

1/2

d)

4/3

24.

solve for x.

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

a)

-4

b)

4

c)

1/4

d)

-1/4

25.

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

a)

$x=5$

b)

$x=-5$

c)

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

d)

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

26.

solve for x.

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

a)

1/2

b)

5/8

c)

-1

d)

8/5

27.

Solve for p:
4^p+2 = 64

a)

-16/9

b)

1

c)

8

d)

7/6

28.

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

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

29.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

30.

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

a)

Input

b)

Rate of change

c)

Y-intercept

d)

Output

31.

How do you know that this was exponential growth? $f\left(x\right)=0\ .25\ \left(\ 1.3\right)^x$

a)

Because the 0.25 was bigger than one

b)

Because the 1.3 was bigger than one

c)

Because the 0.25 was less than one

d)

Because the 1.3 was less than one

32.

How do you know that this was exponential decay? $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Because the 25 was bigger than one

b)

Because the 0.20 was bigger than one

c)

Because the 25 was less than one

d)

Because the 0.20 was less than one

33.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

34.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

35.

What is the graph of the function

y=5\cdot2^x

a)

b)

c)

d)

36.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

37.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

38.

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)

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

39.

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.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

40.

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

41.

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%

42.

A part of an exponential function is graphed on the grid.

Which inequality best represents the range of the part shown?

a)

$x\ge-2$

b)

$y\ge4.5$

c)

$x\ge4.5$

d)

$y\ge-2$

43.

What appears to be the domain of the part of the exponential function graphed on the grid?

a)

$-1\le x\le3$

b)

$-1\le y\le3$

c)

$5.3\le x\le27$

d)

$5.3\le y\le27$

44.

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.

45.

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

46.

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%

47.

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.

48.

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

49.

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

50.

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

51.

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.

52.

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.

53.

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

54.

Simplify the expression x(3x)²

a)

3x²

b)

9x²

c)

3x² + x

d)

9x³

55.

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

56.

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

57.

Describe this function.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear Positive

58.

a)

Exponential Growth

b)

Exponential Decay

c)

Quadratic

59.

Describe the function.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

60.

Describe the function.

a)

Exponential Growth

b)

Exponential Deacy

c)

Positive Linear

61.

Describe the function.

a)

Exponential Growth

b)

Exponential Decay

c)

Quadratic

62.

What is the "a" or y-intercept of the equation.

$y\ =\ 5\left(\frac{1}{2}\right)^x$

63.

What is the Growth Factor of the equation.

$y\ =\ 5\left(3\right)^x$

64.

What is the "a" or y-intercept of the function?

a)

2

b)

$\frac{1}{2}$

c)

1

65.

The graph for an exponential function is called a (a)

Choose from the below words

curve

line

parabola

66.

Match the following

a)

1.

Growth

b)

2.

Decay

c)

a

3.

y-intercept

d)

$y\ =\ ab^x$

4.

Exponential Function Equation

e)

b

5.

Growth/Decay Factor

67.

Describe the function. $y\ =\ 5^x$

a)

Growth

b)

Deacy

68.

Describe the function. $y\ =\ 2\left(\frac{1}{2}\right)^x$

a)

Growth

b)

Deacy

69.

Describe the translation.

$y\ =\ 3^x+\ 2$

a)

Up 2

b)

Down 2

70.

Describe the translation.

$y\ =\ 6^x-\ 3$

a)

Up 3

b)

Down 3

71.

Describe the translation.

$y\ =\ 2\left(3\right)^x+\ 7$

(a)

72.

Describe the function.

$y\ =\ 2\left(\frac{1}{2}\right)^x-\ 3$

Exponential function that goes (a) (b)

Choose from the below words

down

3 units

up

2 units

73.

What is the range of the function shown?

a)

$-1\le y\le3$

b)

$-1\le x\le3$

c)

$5.3\le y\le27$

d)

$5.3\le x\le27$

74.

What is the domain of the function shown?

a)

$x>1$

b)

$y>1$

c)

$x>-2$

d)

$y>-2$

75.

What is the range of the function shown?

a)

$x>1$

b)

$y>1$

c)

$x>-2$

d)

$y>-2$

76.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

What is the initial balance in the account?

(a)

77.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

Is the balance increasing or decreasing?

(a)

78.

Consider the given function that represents the population of town.

$f\left(x\right)=22000\left(0.94\right)^x$

Is the population of the town increasing or decreasing?

(a)

79.

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)

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

80.

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)

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

81.

Which dashed line is the asymptote of this graph?

a)

q

b)

r

c)

t

d)

s

82.

What is the equation for the ASYMPTOTE for every exponential function in this class?

4 lines

83.

What is the equation of this graph?

a)

$y=3^x$

b)

$y=2^x$

c)

$y=2\cdot3^x$

d)

$y=4^x$

84.

What is the equation of this graph?

a)

$y=3^{x+5}$

b)

$y=3^x+4$

c)

$y=5^x$

d)

$y=3^x+5$

85.

What is the equation of this graph?

a)

$y=3^x$

b)

$y=3^x+5$

c)

$y=3^{x-2}+5$

d)

$y=3^{x-2}$

86.

What is the graph of

y=2\cdot3^x

?

a)

b)

c)

d)

87.

What is the graph of

y=-2\cdot3^x

?

a)

b)

c)

d)

88.

What is the graph of

y=-2\cdot3^{x-2}+5

?

a)

b)

c)

d)

89.

What is the graph of

y=-3^{x-2}+5

?

a)

b)

c)

d)

90.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: (−∞,∞)

Range: (0,∞)

b)

Domain: (−∞,∞)

Range: (1,∞)

c)

Domain: (−2,∞)

Range: (0,∞)

d)

Domain: (−∞,∞)

Range: (−∞,0)

91.

For $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain and range.

a)

b)

92.

This is an example of....

a)

an increasing exponential function

b)

a decreasing exponential function

c)

an increasing linear function

d)

none of the above

93.

This is an example of.....

a)

exponential decay

b)

exponential growth

c)

constant change

d)

a linear function

94.

Classify
f(x)=4/5(.8)^x-9

a)

Exponential Growth

b)

Exponential Decay

95.

What transformations have occurred on the graphs from the parent function to the transformed function?

** Use the grap given!!

a)

Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7

b)

Reflection across the asymptote, horizontal shift right 3, vertical shift down 7

c)

Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7

d)

Stretch by a factor of 3, vertical shift down 7

96.

What is the transformation of

f\left(x\right)=-\frac{1}{3}\left(2\right)^x+3

?

a)

Reflection over x-axis

Vertical shrink by 1/3

Up 3

b)

Vertical shrink by 1/3

Up 3

c)

Reflection over x-axis

Vertical stretch by 2

Up 3

d)

Vertical stretch by 2

Up 3

97.

What is the horizontal asymptote of the exponential function?

a)

y = 0

b)

y = 3

c)

x = 0

d)

x = 3

98.

a)

The end behavior of the graph is x →∞, f(x) →⁻∞ and x →⁻∞, f(x) →⁻∞

b)

The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →∞

c)

The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →2

d)

The end behavior of the graph is x →∞, f(x) →2 and x→⁻∞, f(x) →∞

99.

Which function below has a different asymptote than the other functions?

a)

$d\left(x\right)=e^x+3$

b)

$e\left(x\right)=e^{x-3}+3$

c)

$f\left(x\right)=e^{x+6}+7$

d)

$g\left(x\right)=e^x+3$

100.

Describe the transformations, asymptote, domain, and range for the following function:

f\left(x\right)=-3\left(2\right)^{\left(x-4\right)}+

f (x) = - 3 (2)^{(x - 4)} + 6

a)

Transformation: Vertically stretched factor 3, translated right 4 and down 6.
Horizontal Asymptote at y = - 6
Domain: (-∞,∞) Range: (-∞,6)

b)

Transformation: Reflection over x-axis, vertically stretched factor 3, translated right 4 and up 6.
Horizontal Asymptote at y = 6
Domain: (-∞,∞) Range: (-∞,6)

c)

Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and up 6.
Horizontal Asymptote at y = 6
Domain: (-∞,∞) Range: (6,-∞)

d)

Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and Down 6.
Horizontal Asymptote at y =6
Domain: (-∞,∞) Range: (6,-∞)

101.

Describe how f(x) is transformed to describe g(x).

a)

The function f(x) would be translated left 1.

b)

The function f(x) would be translated right 1.

c)

The function f(x) would be translated down 1.

d)

The function f(x) would be translated up 1.

102.

What is the domain of the following function?

a)

y>1

b)

y = 1

c)

all real numbers

103.

What is the definition of an asymptote?

a)

a curved line

b)

a curve at the origin

c)

a line that continually approaches a given curve but does not meet it at any finite distance

104.

Determine the asymptote of the equation below:

g\left(x\right)=4\cdot2^x+3

a)

y = 4

b)

y = 2

c)

y = 3

105.

What is the horizontal asymptote?

a)

y =2

b)

y =-2

c)

x=-2

106.

The graph

g\left(x\right)=2^{\left(x-3\right)}

is shown, which statement best describes the transformation from the parent graph

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

.

a)

Vertically shift up 3

b)

Vertically shift down 3

c)

Horizontally shift right 3

d)

Horizontally shift left 3

107.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

108.

Which of the following is NOT a transformation of the equation

f\left(x\right)=3\cdot2^{\left(x-3\right)}+3

a)

Shift horizontally left 3 units

b)

Shift vertically up 3 units

c)

Shift horizontally right 3 units

d)

Vertically stretched by a factor of 3

109.

What is the equation for the asymptote for the graph of $f\left(x\right)=2^{\left(x-3\right)}$ ?

a)

$x=0$

b)

$y=0$

c)

$x=3$

d)

$y=2$

110.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

111.

How has the function $3^x-5$ been transformed from the parent function $3^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

112.

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

a)

Horizontal shift left one unit

b)

Horizontal shift right one unit

c)

Vertical shift up one unit

d)

Vertical shift down one unit

113.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

114.

What is the horizontal asymptote of the exponential function?

a)

y = 0

b)

y = -1

c)

x = 0

d)

x = -1

115.

Use y = e^x to evaluate e^1.7 to 4 decimal places.

a)

5.4739

b)

4.6211

c)

2.7183

d)

4.8929

116.

How many times a year does semiannual mean?

a)

1

b)

2

c)

4

d)

12

117.

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

a)

$4915.59

b)

$3933.28

c)

$2979.81

d)

$4005.09

118.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

119.

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

a)

$800.26

b)

$6,701.28

c)

$10,138.07

d)

$1,923.23

120.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

121.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded monthly. What will be his balance after 15 years?

a)

$827.52

b)

$839.17

c)

$839.45

d)

$846.80

122.

Determine the balance in the account if you deposited $4,000 at an interest rate of 3.4% compounded quarterly for three years.

a)

$4422.03

b)

$4427.62

c)

$4428.90

d)

$4429.51

123.

Determine the balance in the account if you deposited $4,000 at an interest rate of 3.4% compounded monthly for three years.

a)

$4422.03

b)

$4427.62

c)

$4428.90

d)

$4429.51

124.

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

a)

$412,749.79

b)

$529.305.61

c)

$689,546.99

d)

$640,891.53

125.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

126.

Change 6.75% to a decimal.

a)

67.5

b)

.675

c)

675

d)

.0675

127.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

128.

Match the following

a)

quarterly

1.

4 times

b)

daily

2.

365 times

c)

monthly

3.

12 times

d)

biannually

4.

2 times

e)

annually

5.

1 time

129.

Label each part of the formula

a)

End Amount

b)

Principle/Start Point

c)

Rate

d)

Compound Period

e)

Time

1

2

3

4

5

1)

2)

3)

4)

5)

130.

Jacob borrows $500 from Abraham and agrees to have the loan compounded quarterly for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$500

1.

P

b)

.025

2.

r

c)

5 years

3.

t

d)

Quarterly (4)

4.

n

131.

Match to the formulas needed:

a)

A = Pe^rt

1.

for compounding continuously

b)

$A\ =\ P\left(1\ +\ \frac{r}{n}\right)^{nt}$

2.

for compound interest for specific time

c)

$A=StartPt\left(1\pm rate\right)^{time}$

3.

basic/slang exponential setup

132.

A population of bacteria doubles every 3 hours. If the initial population is 500, what will be the population after 9 hours?

a)

4,000

b)

1,500

c)

2,000

d)

3,000

133.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

134.

The following function represents a bank account.
g(x) = 200(1.25)^x
What was the initial dollar amount put in the bank?

a)

$200

b)

$1.25

c)

$0.25

d)

$2.00

135.

The following function represents a bank account.

g(x) = 200(1.25)^x

^{What interest rate did the bank give?}

a)

200%

b)

1.25%

c)

25%

d)

2%

136.

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

a)

$77,318

b)

$41,850

c)

$25,181

d)

The value won't change at all.

137.

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

a)

f(x)= 18,500 (1 + 0.16)^x

b)

f(x)= 0.16 (18,500)^x

c)

f(x)= 18,500 (1 - 0.16)^x

d)

f(x)= 0.84 (18,500)^x

138.

What is the percent (%) of increase or decrease in the following function?

f(x) = 3000 (1 + 0.4)^x

a)

Decrease by 4%

b)

Increase by 4%

c)

Increase by 40%

d)

Decrease by 40%

139.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

a)

f(x)=350(0.06)^x

b)

f(x)=0.06(350)^x

c)

f(x)=350(1 - 0.06)^x

d)

f(x)=350(1 + 0.06)^x

140.

Find the inverse of $g\left(x\right)=\left(x-4\right)^2+7$

a)

$g^{-1}\left(x\right)=4-\sqrt{x+7}$ D: $\left[7,\ \infty\right)$

b)

$g^{-1}\left(x\right)=4+\sqrt{x-7}$ D: $\left(-\infty,\ 4\right]$

c)

$g^{-1}\left(x\right)=4-\sqrt{x+7}$ D: $\left[4,\ \infty\right)$

d)

$g^{-1}\left(x\right)=4+\sqrt{x-7}$ D: $\left[7,\ \infty\right)$

141.

Find the inverse of $f\left(x\right)=x^2-4$

a)

$f^{-1}\left(x\right)=\sqrt{x+16}$

b)

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

c)

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

d)

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

142.

Find the inverse of $f\left(x\right)=3x+2$

a)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-3}{2}$

c)

$f^{-1}\left(x\right)=\frac{3x}{2}$

d)

$f^{-1}\left(x\right)=\frac{2+x}{3}$

143.

Are these inverse functions

a)

no

b)

yes

c)

no way to tell

144.

Suppose you are given a table of values. When creating a table for the inverse graph you must...?

a)

Switch the x and y

b)

Solve for x

c)

Plot the coordinates

d)

Potato

145.

Will the inverse of this function, be a function?

a)

No

b)

Yes

c)

No way to tell

146.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

147.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

148.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded monthly. What will be his balance after 15 years?

a)

$827.52

b)

$839.17

c)

$839.45

d)

$846.80

149.

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?

a)

An account earning no interest

b)

An account earning interest compounded monthly

c)

An account earning interest compounded annually

d)

An account earning interest compounded daily

150.

What does the P stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

Alg 2 Exponential Functions Review

Total questions: 150

Worksheet time: 11hrs 49mins

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