AnswersGA-Algebra Concepts and Connections CRAnalyzing Graphs

Analyzing Graphs — Unit test Answers

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1
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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
2
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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)
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

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)
5

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

Question illustration
A
Xmin: –10, Xmax: 10Ymin: –10, Ymax: 10
B
Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20
C
Xmin: –5, Xmax: 5Ymin: –20, Ymax: 20
D
Xmin: –10, Xmax: 10Ymin: –5, Ymax: 5
6

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range: (0,)
Option B
C
domain: range:
Option C
D
domain: range:
Option D
7

The graph represents a functional relationship.

Question illustration
A
–14
B
–2
C
0
D
4
8

The table represents the function f(x).

Question illustration
A
–29
B
–10
C
–3
D
–1
9

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.
10

Consider the function represented by the table.

Question illustration
A
4
B
5
C
6
D
7
11

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)
12

If f(x) = 2x2 + 1, what is f(x) when x = 3?

A
1
B
7
C
13
D
19
13

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

Question illustration
A
-1.8
B
-1.2
C
0
D
5
14

The table represents a function.

Question illustration
A
–6
B
–2
C
4
D
7
15

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.
16

The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

Question illustration
A
the radius of the rubber ball when the volume equals cubic feet
Option A
B
the volume of the rubber ball when the radius equals feet
Option B
C
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
17

The function f(x) is shown on the graph.

Question illustration
A
12 only
B
2 and 3 only
C
–2, –1, 1, and 2 only
D
–2, –1, 1, 2 and 12
18

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).
19

What is the inverse of the function f(x) = x – 12?

Question illustration
A
h(x) = 48x – 4
B
h(x) = 48x + 4
C
h(x) = 4x – 48
D
h(x) = 4x + 48
20

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

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