AnswersFL-1200710-Mathematics for College Algebra AAdding and Subtracting Polynomials

Adding and Subtracting Polynomials — Unit test Answers

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1
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The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

A
g(x) = 3x – 6
B
g(x) = 3x + 6
C
g(x) = 3x – 6
D
g(x) = 3x + 6
2
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What is the common ratio of the sequence?-2, 6, -18, 54,...

A
−3
B
−2
C
3
D
8
3

Which table shows exponential decay?

A
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.
Option D
4

The graph shows that f(x)= is translated horizontally and vertically to get the function .

Question illustration
A
−5
B
−3
C
3
D
5
5

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

A
(x2 – 7)(x – 5)
B
(x2 – 7)(x + 5)
C
(x2 – 5)(x – 7)
D
(x2 + 5)(x – 7)
6

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).

Question illustration
A
g(x) = 2(3)x
B
g(x) = −(3)x
Option B
C
g(x) = (3)−x
Option C
D
g(x) = 2(3)−x
7

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

A
(3 – 7x)(x2 – 3)
B
(7x – 3)(3 + x2)
C
(3 – 7x2)(x – 3)
D
(7x2 – 3)(3 + x)
8

Which is the graph of f(x) = (4)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
9

Which equation represents an exponential function with an initial value of 500?

A
f(x) = 100(5)x
B
f(x) = 100(x)5
C
f(x) = 500(2)x
D
f(x) = 500(x)2
10

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
2
D
4
11

On a coordinate plane, 2 curves are shown. The first curve f (x) opens up and to the right in quadrant 1. It goes through (4, 2), (1, 4), and crosses the y-axis at (0, 5). The second curve g (x) opens down and to the right and goes through (4, negative 2), (1, negative 4), and crosses the y-axis at (0, negative 5).

Question illustration
A
g(x) = 5(0.8)–x
B
g(x) = –5(0.8)x
C
g(x) = (0.8)x
Option C
D
g(x) = 5(–0.8)x
12

Which is equivalent to ?

Question illustration
A
4
B
12
C
64
D
192
13

1.2, 3, 7.5, 18.75, ...

A
f(x) = 1.2(2.5)x – 1
B
f(x) = 2.5(1.2)x – 1
C
f(x) = 1.2(2.5)x
D
f(x) = 2.5(1.2)x
14

The table represents an exponential function.

Question illustration
A
Two-thirds
Option A
B
Three-fourths
Option B
C
Four-thirds
Option C
D
Three-halves
Option D
15

What is the range of f(x) = – 4?

Question illustration
A
{y | y > –4}
B
Left-brace y vertical line y greater-than three-fourths right-brace
Option B
C
{y | y < –4}
D
Left-brace y vertical line y less-than three-fourths right-brace
Option D
16

Which is equivalent to ?

Question illustration
A
3
B
6
C
36
D
72
17

What are the domain, range, and asymptote of h(x) = 6x – 4?

A
domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4
B
domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4
C
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4
D
domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4

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