Quiz about Exponential Functions

Question 1

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 2

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

Accepted Answer

Decay

Answer

Growth

Answer

Linear

Answer

None

Question 3

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

Accepted Answer

Growth

Answer

Decay

Answer

Linear

Answer

None

Question 4

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 5

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

Accepted Answer

13

Answer

(.27)x

Answer

.27

Answer

3.51

Question 6

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Accepted Answer

2

Answer

4

Answer

(2)x

Answer

8

Question 7

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

Accepted Answer

4

Answer

2

Answer

(2)x

Answer

8

Question 8

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Question 9

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

Accepted Answer

y = 50(1.4)^x

Answer

y = 50(.05)^x

Answer

y = 50x - 4

Answer

y = (2)^x + 50

Question 10

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 11

What is the x-intercept of the exponential function?

Accepted Answer

There is not one

Answer

(0,1)

Answer

(0,0)

Question 12

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

Accepted Answer

0.3

Answer

10

Answer

1

Answer

3

Question 13

Classify the function, f(x) = 6.5(0.85)^x.

Accepted Answer

exponential decay

Answer

exponential growth

Answer

positive linear

Answer

negative linear

Question 14

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?

Accepted Answer

Increasing

Answer

Decreasing

Question 15

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

Accepted Answer

1/3

Answer

3

Answer

-3

Answer

-1/3

Question 16

Which variable represents time passed in the function y=ab^x?

Accepted Answer

x

Answer

y

Answer

a

Answer

b

Question 17

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Question 18

What is the common ratio(multiplier) for the sequence:

28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 19

How do you write 5% as a decimal?

Accepted Answer

0.05

Answer

50

Answer

5

Answer

0.5

Question 20

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 21

What is the value of (-2)^3?

Accepted Answer

-8

Answer

-6

Answer

6

Answer

8

Question 22

Which number is the BASE?
2³= 8

Accepted Answer

2

Answer

3

Answer

8

Question 23

What is 7¹?

Accepted Answer

7

Answer

1

Answer

0

Answer

14

Question 24

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 25

Simplify the following expression:

Accepted Answer

125

Answer

5

Answer

25

Answer

625

Question 26

Simplify:

Accepted Answer

64

Answer

2

Answer

4

Answer

16

Question 27

Simplify:

Accepted Answer

36

Answer

6

Answer

12

Answer

432

Question 28

What value of x satisfies this equation?
16^x = 2

Accepted Answer

1/4

Answer

4

Answer

1/8

Answer

3/4

Question 29

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

Accepted Answer

45

Answer

54

Answer

46

Answer

46

Question 30

42 * 42

Accepted Answer

44

Answer

164

Answer

42

Answer

82

Question 31

2 * 2² *2²

Accepted Answer

25

Answer

24

Answer

84

Answer

36

Question 32

2n⁴ * 5n⁴

Accepted Answer

10n8

Answer

7n4

Answer

10n16

Answer

none of the above

Question 33

6r *5r2

Accepted Answer

30r3

Answer

30r2

Answer

11r3

Answer

11r2

Question 34

3u⁴v⁵ * 7u²v³

Accepted Answer

none of the above

Answer

21u2v2

Answer

14u6v8

Answer

21u⁸v¹⁵

Question 35

How do you correctly say 4³

Accepted Answer

4 cubed

Answer

4 squared

Answer

3 quadrupled

Answer

4 to the power of 2

Question 36

Fill in the blank with the correct exponent to make the statement true.
3^{16 =}(3⁸)(3^_)

Accepted Answer

8

Answer

2

Answer

4

Answer

1

Question 37

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 38

What is the base in 2⁸ ?

Accepted Answer

2

Answer

8

Question 39

x⁴ (x¹²)

Accepted Answer

x16

Answer

x3

Answer

x48

Answer

x8

Question 40

Question 40.

Accepted Answer

x12

Answer

x4

Answer

x8

Answer

x20

Question 41

Question 41.

Accepted Answer

y16

Answer

y3

Answer

16y

Answer

y48

Question 42

Which number is the EXPONENT?
4^{2 =}16

Accepted Answer

2

Answer

4

Answer

16

Question 43

Question 43.

Accepted Answer

8x4

Answer

8x8

Answer

6x4

Answer

6x8

Question 44

7-2

Accepted Answer

1/49

Answer

49

Answer

10/49

Answer

-49

Question 45

Simplify.

Accepted Answer

x7

Answer

1/x3

Answer

x3

Answer

1/x7

Question 46

Simplify.

Accepted Answer

y4

Answer

y60

Answer

1/y16

Answer

y-16

Question 47

Simplify (34x⁵y⁶z^-7)⁰

Accepted Answer

1

Answer

34x⁵y⁶ / z⁷

Answer

34x⁵y⁶ / x^-7

Answer

0

Question 48

Simplify 3a^-1c^-5/ d⁰

Accepted Answer

3/ac5

Answer

1

Answer

3a/c5

Answer

1/3a¹c⁵d

Question 49

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

Accepted Answer

.92

Answer

.08

Answer

1.08

Answer

8

Question 50

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

Accepted Answer

Growth

Answer

Decay

Question 51

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

Accepted Answer

Decay

Answer

Growth

Question 52

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

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 53

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 54

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Accepted Answer

$424,527.63

Answer

$176,783.29

Answer

$57,357.75

Answer

$532,041,076.80

Question 55

$$\sqrt{63}$$

Accepted Answer

$$3\sqrt{7}$$

Answer

$$9\sqrt{7}$$

Answer

$$6\sqrt{2}$$

Answer

$$7\sqrt{6}$$

Exponential Functions

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