AnswersHigh School Math 2 ALinear Growth vs. Exponential Growth

Linear Growth vs. Exponential Growth — Unit test Answers

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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = negative StartRoot x EndRoot
Option A
B
y = StartRoot (negative x) EndRoot + 2
Option B
C
y = StartRoot (negative x) EndRoot minus 2
Option C
D
y = negative StartRoot x EndRoot minus 2
Option D
2
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The graph below is an example of which type of function?

Question illustration
A
quadratic
B
linear
C
cubic
D
square root
3

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
4

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
5

How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is stretched horizontally by a factor of 2 and then moved right 4 units.
B
The graph is compressed horizontally by a factor of 2 and then moved down 4 units.
C
The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
D
The graph is stretched horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
6

Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

Question illustration
A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)
7

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

A
absolute value
B
exponential
C
cube root
D
square root
8

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
9

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
10

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

A
y = 7x
B
y = x Superscript 7
Option B
C
y = StartFraction 7 Over x EndFraction
Option C
D
y = 7
Option D
11

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
12

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
13

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D

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