AnswersAlgebra II - MA3111 CRUnit Test

Unit Test — Unit test Answers

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21
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Which of the following is the graph of f(x) = –0.5|x + 3| –2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
22
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What are the domain and range of the step function with the equation below?

Question illustration
A
The domain is all real numbers, and the range is all real numbers.
B
The domain is all integers, and the range is all integers that are multiples of 3.
C
The domain is all real numbers, and the range is all integers that are multiples of 3.
D
The domain is all integers, and the range is all real numbers.
23

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)
24

Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three options.f(x) = –2 (x – 8)2h(x) = –5 |x| + 10j(x) = –4(x + 2)2 + 8

Question illustration
A
f(x) = –2 (x – 8)2
B
h(x) = –5 |x| + 10
C
j(x) = –4(x + 2)2 + 8
D
Option
Option D
E
Option
Option E
25

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).
26

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|
27

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
28

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
29

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
30

Which function has a range limited to only negative numbers?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

Which of the following is the parent function of all absolute value functions?

A
f(x) = 3x
B
f(x) = |x|
C
f(x) = 2|x|
D
mc001-1.jpg
Option D
32

Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three options.f(x) = –2 (x – 8)2h(x) = –5 |x| + 10j(x) = –4(x + 2)2 + 8

Question illustration
A
f(x) = –2 (x – 8)2
B
h(x) = –5 |x| + 10
C
j(x) = –4(x + 2)2 + 8
D
Option
Option D
E
Option
Option E
33

What is the vertex of the absolute value function below?

Question illustration
A
(–3, –2)
B
(–3, 2)
C
(2, –3)
D
(2, 3)
34

The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a total of 10 days.

Question illustration
A
Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.
B
Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.
C
Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.
D
Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.
35

Which statements comparing the functions are true? Select three options.

A
Only f(x) and h(x) have y-intercepts.
B
Only f(x) and h(x) have x-intercepts.
C
The minimum of h(x) is less than the other minimums.
D
The range of h(x) has more values than the other ranges.
E
The maximum of g(x) is greater than the other maximums.
36

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. What is the range of acceptable values?

A
42.668 mm to 42.670 mm
B
42.668 mm to 42.672 mm
C
42.670 mm to 42.672 mm
D
42.670 mm to 42.674 mm
37

Which statements can be used to compare the functions? Select two options.

A
Only f(x) has an x-intercept.
B
g(x) has the greatest maximum.
C
All three functions have a y-intercept.
D
All three functions have the same range values.
E
All three functions have the same domain values.
38

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)
39

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
40

What is the value of ?

Question illustration
A
3
B
3.5
C
3.6
D
4

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