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

Geometric Sequences — Unit test Answers

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1
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Which function represents exponential decay?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) = 4
Option f
f
f(x) = 4
Option f
2
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Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The range contains only natural numbers.
B
The domain contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.
3

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
4

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
5

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

T
The two functions have the same initial value.
T
The two functions will cross each other on the axis.
T
The two functions have reciprocal output values of each other for any given input value.
T
The two functions have opposite output values of each other for any given input value.
6

Which is a shrink of an exponential growth function?

Question illustration
f
f(x) = (3)x
Option f
f
f(x) = 3(3)x
f
f(x) =
Option f
f
f(x) =
Option f
7

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
8

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
9

best

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
10

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
11

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?

A
Option
B
Option
C
Option
D
Option
12

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
13

Which formula can be used to describe the sequence?

Question illustration
A
f(x) = −3
Option A
B
f(x) = −3
Option B
C
f(x) = (3)x − 1
Option C
D
f(x) = (−3)x − 1
Option D
14

Which is a stretch of an exponential growth function?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
15

Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D

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