Unit Test — Unit test Answers

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If and , what is the domain of ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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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).

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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)
3

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

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A
-1.8
B
-1.2
C
0
D
5
4

The table represents the function f(x).

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A
–29
B
–10
C
–3
D
–1
5

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

A
f(n + 1) = (–0.5)f(n)
B
f(n + 1) = (0.5)f(n)
C
f(n + 1) = f(0.5n)
D
f(n + 1) = f(–0.5n)
6

The graph represents a functional relationship.

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A
–14
B
–2
C
0
D
4
7

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

A
the height of the rock 3.2 seconds before it reaches the ground
B
the time it takes the rock to reach the ground, or 3.2 seconds
C
the time it takes the rock to reach a height of 3.2 meters
D
the height of the rock 3.2 seconds after it is propelled
8

If a(x) = 3x + 1 and , what is the domain of ?

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Option
Option A
B
Option
Option B
C
Option
Option C
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Option
Option 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.

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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

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

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A
h(x) = 48x – 4
B
h(x) = 48x + 4
C
h(x) = 4x – 48
D
h(x) = 4x + 48
11

Which graph shows a set of ordered pairs that represent a function?

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Option
B
Option
C
Option
D
Option
12

On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).

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A
all the real numbers
B
all the real numbers greater than or equal to 0
C
all the real numbers greater than or equal to 2
D
all the real numbers greater than or equal to –3
13

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)
14

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

A
–12, –18, –27, ...
B
–20, 30, –45, ...
C
–18, –16.5, –15, ...
D
–16, –17.5, –19, ...
15

Which set of ordered pairs represents a function?

A
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
16

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
17

Consider the function represented by the table.

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A
4
B
5
C
6
D
7
18

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
19

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).

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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.
20

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

A
The common difference is –7.2.
B
The common difference is –2.4.
C
The common ratio is –2.0.
D
The common ratio is –0.5.

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