Unit Test — Unit test Answers

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This function models the relationship between the hours worked, x, and the amount of money earned, f(x). Which choices could be elements of the domain of the function? Check all that apply.

Question illustration
A
5
B
200
C
25.5
D
StartFraction 14 Over 3 EndFraction
Option D
E
77
Option E
F
–10
G
–43.5
H
–113
Option H
2
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Which answer explains whether the table of values represents a function?xy–4–5–22031–7–6–9

A
Yes, the values represent a function because each x-value is paired with only one y-value.
B
Yes, the values represent a function because each y-value is paired with only one x-value.
C
No, the values do not represent a function because the x-values are not in ascending order.
D
No, the values do not represent a function because there is no single rule that relates each pair of values.
3

If j and k are nonzero integers, which pair of points must lie in the same quadrant?

A
(j, j) and (k, k)
B
(j, k) and (jk, jk)
C
(j + k, 3) and (3, j + k)
D
(3j, 3k) and
Option D
4

A function is defined by . What is f(2.5)?

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A
2.5
B
13.5
C
15.0
D
16.5
5

What is the rate of change of the function?

Question illustration
A
–3
B
Negative one-third
Option B
C
One-third
Option C
D
3
6

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours.Which statements about the situation are true? Check all that apply.

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A
The water level is rising.
B
The water level is falling.
C
The initial level of water in the pool was 3,500 units.
D
The initial level of water in the pool was 225 units.
E
The pool was empty after 14 hours.
F
The water was 2,600 units high after 4 hours.
7

Which figure correctly demonstrates using a straight line to determine that the graphed equation is not a function of x?

A
On a coordinate plane, a circle is centered around (0, 0). A vertical line touches the edge of the circle at (negative 4, 0).
Option A
B
On a coordinate plane, a circle is centered around (0, 0). A horizontal line touches the edge of the circle at (0, 4).
Option B
C
On a coordinate plane, a circle is centered around (0, 0). A vertical line goes through 2 points of the circle
Option C
D
On a coordinate plane, a circle is centered around (0, 0). A horizontal line goes through 2 points of the circle
Option D
8

Fun Zone offers four party packages. The prices for each package are $50 more on weekends than they are on weekdays, as shown in the table below.Party Package RatesPackage numberWeekend or weekdayPrice1Weekend$1601Weekday$1102Weekend$1802Weekday$1303Weekend$2303Weekday$1804Weekend$3004Weekday$250Which statement best describes the relation (package number, price)?

A
It is a function because there is a price given for every package.
B
It is a function because weekend packages are always $50 more than weekday packages.
C
It is not a function because each package number has two different prices.
D
It is not a function because there are two different packages available for $180.
9

How does the graph change between point A and point C?

Question illustration
A
The graph increases, then decreases.
B
The graph decreases, then remains constant.
C
The graph decreases, then increases.
D
The graph increases, then remains constant.
10

The table below shows the total cost of admittance to a basketball game, y, for x students.xy5$2510$5015$7520$100Which explains how the table can be used to predict the cost of any number of students attending the game?

A
The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.
11

Is the function in the graph non-linear?

Question illustration
A
Yes, because it has a constant rate of change.
B
Yes, because it does not have a constant rate of change.
C
No, because it has a constant rate of change.
D
No, because it does not have a constant rate of change.
12

A function is defined by . What is f(10)?

Question illustration
A
11
B
14
C
31
D
311
13

Which relation is a function of x?

A
{(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)}
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7.
Option B
C
x = 3 y squared minus 7
Option C
D
On a coordinate plane, a graph curves up, then curves down, and then curves up again.
Option D
14

Which point is located at (5, –2)?

Question illustration
A
point A
B
point B
C
point C
D
point D
15

What is modeled by the graph segment between B and C?

Question illustration
A
The height is remaining constant over time.
B
The time is remaining constant while the height changes.
C
The height is increasing.
D
The height is decreasing.

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