AnswersCommon Core Algebra II - MA3111 B-CRUnit Test

Unit Test — Unit test Answers

20 verified answers
1
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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.
2
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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.
3

In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter with a weight of x ounces in this country.Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?

Question illustration
A
$1.62
B
$1.64
C
$1.84
D
$2.04
4

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
5

A city manager made the graph below to represent the number of passengers that city buses can carry, where the number of passengers is represented by x, and the number of buses by y.If all city buses carry the same number of passengers, what is the least number of buses needed to carry 710 passengers?

Question illustration
A
5
B
10
C
11
D
12
6

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–4, 6).
B
The graph of f(x) is a horizontal stretch of the graph of the parent function.
C
The graph of f(x) opens upward.
D
The graph of f(x) has a domain of x –6.
Option D
7

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

A
range
B
domain
C
minimum
D
x-intercept
E
y-intercept
8

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.
9

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

A
f(x ) = x – |42.67|
B
f(x ) = |x| – 42.67
C
f(x ) = |42.67 – x|
D
f(x ) = 42.67 – |x|
10

What are the domain and range of the step function below?

Question illustration
A
domain = {all real numbers}, range = {all real numbers}
B
domain = {all real numbers}, range = {...–4, –1, 2, 5, ...}
C
domain = {...–5, –2, 1, 4, ...}, range = {...–4, –1, 2, 5, ...}
D
domain = {all integers}, range = {all real numbers}
11

If , what is f(5.9)?

Question illustration
A
9
B
10
C
11
D
12
12

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

A
15.15 oz to 16.00 oz
B
15.85 oz to 16.00 oz
C
15.85 oz to 16.15 oz
D
16.15 oz to 16.45 oz
13

What is the vertex of f(x) = |x + 8| – 3?

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)
14

The standard form of an absolute value function is . Which of the following represents the vertex?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
mc002-4.jpg
Option C
D
mc002-5.jpg
Option D
15

What is the domain of the absolute value function below?

Question illustration
x
x –4
Option x
x
x 2
Option x
C
Option
Option C
D
Option
Option D
16

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
17

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

A
x = –24, x = 16
B
x = –16, x = 24
C
x = –1, x = 9
D
x = 1, x = –9
18

In the function , which values of the function are equivalent?

Question illustration
A
f(–1) and f(–2)
B
f(1) and f(0)
C
f(–3) and f(–2.1)
D
f(2) and f(1.9)
19

Consider the function.

Question illustration
A
Option
Option A
B
Option
Option B
C
f(x) = 2 |x + 2|
D
f(x) = |x – 4|
20

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1

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