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? a. $3 c. $9 b. $6 d. $12 Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
8

The graph shows the height of a ball as it bounces. What does each decreasing portion of the graph represent? a. The ball is falling back toward the ground. c. The ball is touching the ground at its lowest point. b. The ball has briefly touched the ground and is beginning to rise again. d. The ball has reached its maximum height of the first bounce. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
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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