Quiz about Review of Exponential Functions

Question 1

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

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 2

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 3

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 4

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

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 5

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

Accepted Answer

Growth

Answer

Decay

Question 6

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 7

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 8

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

Accepted Answer

9765

Answer

9766

Answer

9006

Answer

5433

Question 9

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.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 10

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 11

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 12

Which function represents the table of values?

Accepted Answer

f(x) = 4x

Answer

f(x) = 4x

Answer

f(x) = x3

Answer

f(x) = 4^x-1

Question 13

h(x)= 12^{x
Find h(-2)}

Accepted Answer

1/144

Answer

1/24

Answer

-144

Answer

-24

Question 14

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

Accepted Answer

decay

Answer

growth

Question 15

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 16

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 17

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

Accepted Answer

4

Answer

2

Answer

(2)x

Answer

8

Question 18

When b is greater than 1, it is...

Accepted Answer

exponential growth

Answer

exponential decay

Answer

exponential unicorns

Question 19

When b is between 0 and 1, it is...

Accepted Answer

exponential decay

Answer

exponential growth

Answer

exponential unicorns

Question 20

Convert 3% to a decimal

Accepted Answer

.03

Answer

3

Answer

.3

Answer

.003

Question 21

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 22

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Is this an example of growth, decay, or neither?

Accepted Answer

growth

Answer

decay

Answer

neither

Question 23

A population of fish starts at 8,000 and decreases by 6% per year. Is this an example of growth, decay, or neither?

Accepted Answer

decay

Answer

growth

Answer

neither

Question 24

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

Accepted Answer

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

Answer

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

Answer

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

Answer

f(x)=400(0.03)^x

Question 25

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

Accepted Answer

t(n) = 625(1/5)⁽ⁿ⁾

Answer

t(n) = (125)(5)⁽ⁿ⁾

Answer

t(n) = 625(5)⁽ⁿ⁾

Answer

t(n) = 125 + 5n

Question 26

Pick the equation that is exponential growth

Accepted Answer

y = 0.5(2)^x

Answer

y=2(0.5)x

Review of Exponential Functions

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