AnswersEAP-Algebra Functions and Data Analysis A CRUnit Test

Unit Test — Unit test Answers

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On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Question illustration
A
Over the interval [–3, –2], the local minimum is 0.
B
Over the interval [–2, –1], the local minimum is 2.2.
C
Over the interval [–1, 0.5], the local minimum is 1.
D
Over the interval [0.5, 2], the local minimum is 4.
2
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What is the value of the following function when x = 0?

Question illustration
A
y = negative 5
Option A
B
y = negative 2
Option B
C
y = negative 1
Option C
D
y = 0
Option D
3

A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis.

Question illustration
A
As x increases, y decreases.
B
As x increases, y increases.
C
As x increases, y increases and then decreases.
D
As x increases, y decreases and then increases.
4

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

Question illustration
A
C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit
B
C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius
C
C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius
D
C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit
5

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

Question illustration
A
(–2, 0)
B
(0, –2)
C
(2, –1)
D
(4, 0)
6

Which statements about the local maximums and minimums for the given function are true? Choose three options.

A
Over the interval [1, 3], the local minimum is 0
B
Over the interval [2, 4], the local minimum is –8.
C
Over the interval [3, 5], the local minimum is –8.
D
Over the interval [1, 4], the local maximum is 0.
E
Over the interval [3, 5], the local maximum is 0.
7

The graph above represents a step function. A graph of a step function resembles the steps of a staircase and is not continuous. The black dot represents a closed endpoint (to include) and the white dot represents an open endpoint (do not include). Utilizing the graph, how much does it cost to park for 121 mins?

Question illustration
A
$3
B
$6
C
$9
D
$12
8

The graph shows the height of a ball as it bounces. What does each decreasing portion of the graph represent?

Question illustration
A
The ball is falling back toward the ground.
B
The ball has briefly touched the ground and is beginning to rise again.
C
The ball is touching the ground at its lowest point.
D
The ball has reached its maximum height of the first bounce.
9

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Question illustration
A
f(x) ≤ 0 over the interval (–∞, ∞).
B
f(x) > 0 over the interval (–1, ∞).
C
f(x) ≥ 0 over the interval [–1, 1].
D
f(x) < 0 over the interval (0, 2).
10

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

A
Option
B
Option
C
Option
D
Option
11

The graph represents a functional relationship.

Question illustration
A
–14
B
–2
C
0
D
4
12

Given and , for which value of does ?

Question illustration
A
x = three-halves
Option A
B
x = 2
Option B
C
x = five-halves
Option C
D
x = 4
Option D
13

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

Question illustration
A
(0, 8)
B
(–4, 0)
C
(–4, 0), (4, 0)
D
(–4, 0), (0, 8), (4, 0)
14

Which graph represents the same relation as the table below?xf(x)–25011–12–3

A
A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)
Option A
B
A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).
Option B
C
A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)
Option C
D
A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).
Option D
15

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

Question illustration
A
(–1, –3)
B
(0, –2)
C
(1, 4)
D
(2, 1)
16

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

A
No, because the y-axis is a horizontal line.
B
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
C
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
D
Yes, because the y-axis represents all vertical lines of the x-values.
17

The graph of the function f(x) is shown below.

Question illustration
A
-1.8
B
-1.2
C
0
D
5
18

The graph below represents the distance a pilot is from the home airport during a period of time.

Question illustration
A
zero
B
constant
C
decreasing
D
increasing
19

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

Question illustration
A
(–3, 0) and (0, 1.5)
B
(–3, 0) and (1,0)
C
(–1, 2) and (1, 0)
D
(0, 1.5) and (1, 0)
20

Given , find f(7).

Question illustration
A
–4
B
3
C
7
D
56

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