AnswersRMA FL-1200710-Mathematics for College Algebra Semester 2Unit Test

Unit Test — Unit test Answers

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1
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Which table represents a linear function?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.Plan A: Raise the price by $0.10 each week until the price reaches $12.00.Plan B: Raise the price by 10 percent each week until the price reaches $12.00.Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.Plan D: Raise the price by $0.25 each week until the price reaches $12.00.Which plan will result in the price of the feed reaching $12.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
3

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

Question illustration
A
The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.
Option A
B
The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.
Option B
C
The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.
Option C
D
The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.
Option D
4

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 infinity. To which family of functions might the described function belong?

A
reciprocal
B
square root
C
exponential
D
quadratic
5

Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

Question illustration
A
; each y-value is the previous y-value multiplied by 9.
Option A
B
; each y-value is the previous y-value plus 9 more than was added previously.
Option B
C
; each y-value is the previous y-value plus 9.
Option C
D
; each y-value is the previous y-value multiplied by another 9.
Option D
6

Which statements can be used to compare the characteristics of the functions? Select three options.

A
f(x) has the greatest maximum.
B
h(x) has the greatest x-intercept.
C
g(x) has the smallest minimum value.
D
All three functions share the same domain.
E
All three functions share the same y-intercept.
7

Consider the functions f(x) = 3x2, , and h(x) = 3x.Which statements accurately compare the domain and range of the functions? Select two options.All of the functions have a unique range.The range of all three functions is all real numbers.The domain of all three functions is all real numbers.The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Question illustration
A
All of the functions have a unique range.
B
The range of all three functions is all real numbers.
C
The domain of all three functions is all real numbers.
D
The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.
E
The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.
8

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.
9

Which characteristics do the functions have in common? Select two options.

A
range
B
domain
C
minimum
D
x-intercept
E
y-intercept
10

The tables show functions representing the path of two rockets launched by different science lab groups.

Question illustration
A
Since the maximums occurred at the same x-value, the rockets followed the same path.
B
Since the x-intercepts are the same for both functions, the rockets followed the same path.
C
The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.
D
The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.
11

Tables of values for two different functions are given below. Which statement is true?

Question illustration
A
The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.
B
The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.
C
The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.
D
The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.
12

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

Question illustration
A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
D
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
13

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

Question illustration
A
y = x cubed minus 4
Option A
B
y = (x minus 4) cubed
Option B
C
y = (negative x minus 4) cubed
Option C
D
y = (negative x) cubed minus 4
Option D
14

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = StartFraction 1 Over x + 2 EndFraction + 3
Option A
B
y = 0.2 Superscript x Baseline + 3
Option B
C
y = x cubed + 3
Option C
D
y = log x + 3
Option D
15

The graph below shows a linear function and an exponential function.What is the minimum y-value after which the exponential function will always be greater than the linear function?

Question illustration
A
y = 1
B
y = 3
C
y = 4
D
y = 5
16

Consider the functions.

Question illustration
A
The minimums of g(x) and h(x) are both in the first quadrant.
B
The minimums of g(x) and h(x) are both in the third quadrant.
C
The minimum of h(x) is farther right and up from the minimums of f(x) and g(x).
D
The minimum of h(x) is farther left and down from the minimums of f(x) and g(x).
17

Consider the function.

Question illustration
A
Option
Option A
B
Option
Option B
C
f(x) = 2 |x + 2|
D
f(x) = |x – 4|
18

How is the graph of the parent function transformed to create the graph of ?

Question illustration
A
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
B
It is translated 3 units down and reflected over the x-axis.
C
It is horizontally compressed by a factor of 3 and reflected over the x-axis.
D
It is translated 3 units down and reflected over the y-axis.
19

The velocity of a particle can be modeled by the function . Which graph accurately shows the velocity of the particle at any time, t?

Question illustration
A
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = negative 4 in quadrant 3, has a point of inflection at (negative 2.5, negative 2), and then increases into quadrant 2 and approaches x = negative 1.
Option A
B
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, negative 2), and then increases into quadrant 1 and approaches x = 4.
Option B
C
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, 2), and then decreases into quadrant 4 and approaches x = 5.
Option C
D
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function starts in quadrant 4 and increases into quadrant 1. It has a point of inflection at (8, 2) and then it continue to increase in quadrant 1.
Option D
20

The graph below shows the exponential function and the linear function .What is the minimum y-value after which the exponential function will always be greater than the linear function?

Question illustration
A
y = 1
B
y = 2
C
y = 3
D
y = 4

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