Quiz about Identifying and Evaluating Exponential Functions

Question 1

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 2

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

Accepted Answer

4

Answer

2

Answer

(2)x

Answer

8

Question 3

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

Accepted Answer

Decay

Answer

Growth

Answer

Linear

Answer

None

Question 4

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

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 5

Is the equation linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 6

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 7

The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?

Accepted Answer

12.5 grams

Answer

11.5 grams

Answer

13.5 grams

Answer

14.5 grams

Question 8

What is the balance of a $4500 bond that earns 6.5% interest when compounded annually after 3 years?

Accepted Answer

$5435.77

Answer

$5400

Answer

$5377.50

Answer

$5300

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

A population of fish starts at 8,000 and decreases by 6% per year. What is the initial value?

Accepted Answer

8,000

Answer

6%

Answer

0.6

Answer

0.06

Question 11

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

Accepted Answer

decay

Answer

growth

Question 12

State the domain of the exponential function.

Accepted Answer

all real numbers

Answer

x<0

Answer

x>0

Answer

none of these

Question 13

State the range of the exponential function.

Accepted Answer

y>0

Answer

y<0

Answer

all real numbers

Answer

none of these

Question 14

State the domain of the exponential function.

Accepted Answer

all real numbers

Answer

y<0

Answer

x>0

Answer

x<0

Question 15

State the range of the exponential function.

Accepted Answer

y<0

Answer

y>0

Answer

x>0

Answer

x<0

Question 16

State the range of the exponential function.

Accepted Answer

y>-2

Answer

y<-2

Answer

x>0

Answer

all real numbers

Question 17

Create a function for the pictured table.

Accepted Answer

f(x)=27(1/3)^x

Answer

f(x)=27(3)^x

Answer

f(x)=1/3(27)^x

Answer

f(x)=3(27)^x

Question 18

Identify the growth rate of the equation: f(x)=2(1.45)^x.

Accepted Answer

45%

Answer

145%

Answer

55%

Question 19

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

Accepted Answer

$320

Answer

$50

Answer

$35

Answer

$250

Question 20

What is b, the common ratio, for the function: f(x) = 800(0.85)^x?

Accepted Answer

0.85

Answer

800

Answer

0.15

Answer

x

Question 21

What function type models this graph?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 22

What is the horizontal asymptote of the graph?

Accepted Answer

y=0

Answer

y=2(2)x

Answer

x = 0

Answer

(0,2)

Question 23

Question 23.

Accepted Answer

x y
0 5
1 7
2 13

Answer

x y
0 4
1 7
2 10

Question 24

What is the average rate of change of y = 2(3)^x at [2, 4]?

Accepted Answer

72

Answer

3

Answer

36.8

Answer

630

Question 25

What is the average rate of change from x=-1 and x=0?

Accepted Answer

-2

Answer

-1/2

Answer

2

Answer

1/2

Identifying and Evaluating Exponential Functions

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