AnswersEAP-Algebra Functions and Data Analysis BExponential Functions

Exponential Functions Answers

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Below is a graph of exponential functions labelled I through VI. Determine which of the following exponential formula(s) represents exponential function II in the graph above. () () () () () () a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
2
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On the graph of an exponential function representing growth, what happens to the slope of the graph? The slope:

A
increases
B
decreases
C
stays the same
D
there is no slope
3

Compute the missing data in the table for the following exponential function . Round your answer to the nearest tenths place. x 0 1 2 3 4 5 6 f(x) ? 1.01 1.02 1.03 1.04 1.05 1.06

Question illustration
A
0
B
1.01
C
1.001
D
1
4

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents I, V, VI in the graph above. () () () () () ()

Question illustration
A
, , and
B
, , and
C
, , and
D
, , and
5

What is the growth factor of the following example? Assume time is measured in the units given.Water usage is increasing by 3% per year.

A
3 per year
B
0.03 per year
C
1.03 per year
D
103 per year
6

Compute the missing data in the table for the following exponential function . x 1 2 3 4 5 6 7 f(x) ? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
7

Use the formula to calculate your salary after 2 years. Round your answer to the nearest dollar.

Question illustration
A
$32,512
B
$35,763
C
$39,340
D
$43,273
8

The mass, Q, of a sample of Tritium (a radioactive isotope of Hydrogen), decays at a rate of 5.626% per year. Given a quantity of 726 grams, determine the graph that best models the decay of this radioactive substance. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

What is the domain and range of the function ?

Question illustration
A
domain = negative real numbers, range = negative real numbers
B
domain = all real numbers, range = all real numbers
C
domain = positive real numbers, range = positive real numbers
D
domain = real numbers, range = positive real numbers
10

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents II and IV in the graph above. () () () () () ()

Question illustration
A
and
B
and
C
and
D
and
11

Compute the missing data in the table for the following exponential function . x 1 2 3 4 5 6 7 f(x) 3 9 ? 81 243 729 2187

Question illustration
A
18
B
27
C
32
D
45
12

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t . Write r as a percent.

Question illustration
A
a = 79 b = 1.002 r = 0.2%
B
a = 79 b = 0.002 r = 1.002%
C
a = 79.158 b = 1.002 r = 0.002%
D
a = 79.158 b = 0.002 r = 0.2%
13

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents II and IV in the graph above. () () () () () ()

Question illustration
A
and
B
and
C
and
D
and
14

The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
15

Compute the missing data in the table for the following exponential function . Leave your answer in decimal form. x 1 2 3 4 5 6 7 f(x) 0.5 0.25 0.125 0.0625 ? 0.01563 0.00781

Question illustration
A
0.03753
B
0.0379
C
0.03125
D
0.03951
16

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t . Write r as a percent.

Question illustration
A
a = 29.94 b = 0.788 r = 78.8%
B
a = 29.94 b = 0.212 r = 78.8%
C
a = 34.3 b = 0.788 r = 21.2%
D
a = 34.3 b = 0.212 r = 11.2%
17

On the graph of an exponential function representing growth, what happens to the slope of the graph? The slope:

A
increases
B
decreases
C
stays the same
D
there is no slope
18

What is the domain and range of the function ?

Question illustration
A
domain = negative real numbers, range = negative real numbers
B
domain = all real numbers, range = all real numbers
C
domain = positive real numbers, range = positive real numbers
D
domain = real numbers, range = positive real numbers
19

What is the growth factor of the following example? Assume time is measured in the units given.Water usage is increasing by 3% per year.

A
3 per year
B
0.03 per year
C
1.03 per year
D
103 per year
20

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents I, V, VI in the graph above. () () () () () ()

Question illustration
A
, , and
B
, , and
C
, , and
D
, , and

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