AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVGeometric Sequences

Geometric Sequences — Cumulative exam Answers

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1
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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
2
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Which is the graph of f(x) = (4)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
3

Which graph is the sequence defined by the function f(x) = 3(2)x-1?

A
On a coordinate plane, 5 points are plotted. The points are (0, 2), (1, 6), (2, 18), (3, 54), (4, 162).
Option A
B
On a coordinate plane, 5 points are plotted. The points are (1, 2), (2, 6), (3, 18), (4, 54), (5, 162).
Option B
C
On a coordinate plane, 6 points are plotted. The points are (0, 3), (1, 6), (2, 12), (3, 24), (4, 48), (5, 96).
Option C
D
On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).
Option D
4

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

A
2
B
5
C
10
D
32
5

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
6

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

A
0.5
B
2
C
2.5
D
5
7

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
8

Which best describes the range of the function f(x) = (6)x after it has been reflected over the x-axis?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
9

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.25), (0, 0.5), (1, 1).

Question illustration
A
f(x) = 2
Option A
B
f(x) = (2)x
Option B
C
f(x) =
Option C
D
f(x) = 2(2)x
10

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
11

Which table represents a linear function?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
12

Which is a stretch of an exponential decay function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
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

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.Plan A: Raise the price by $0.10 each week until the price reaches $12.00.Plan B: Raise the price by 10 percent each week until the price reaches $12.00.Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.Plan D: Raise the price by $0.25 each week until the price reaches $12.00.Which plan will result in the price of the feed reaching $12.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
15

The function f(x) is defined as f(x) = (6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

Question illustration
A
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries 12, 2, one-third, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option A
B
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries 12, 2, 0, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option B
C
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option C
D
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option D
16

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
17

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
18

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
19

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
20

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

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