AnswersCA-Mathematics IGeometric Sequences

Geometric Sequences — Unit test Answers

38 verified answers15 views
41
Free Preview

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
42
Free Preview

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
43

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
44

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
45

What is the common ratio of the sequence?-2, 6, -18, 54,...

A
−3
B
−2
C
3
D
8
46

Which table represents exponential growth?

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 2, 4, 6, 8.
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 2, 4, 8, 16.
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 2, 4, 7, 11.
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 2, 4, 6, 10.
Option D
47

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
48

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
49

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
50

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
51

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
a
all real values of x where x < −2
a
all real values of x where −2 < x < 4
a
all real values of x where 1 < x < 4
a
all real values of x where x < 0
52

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Question illustration
T
The exponential function is generally growing slower than the linear function.
T
The exponential function is generally growing faster than the linear function.
T
The linear function is generally growing faster than the exponential function.
T
The exponential function and the linear function are generally growing at the same rate.
53

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Question illustration
T
The domain of the function is all real numbers less than or equal to −2.
T
The domain of the function is all real numbers less than or equal to 9.
T
The range of the function is all real numbers less than or equal to −2.
T
The range of the function is all real numbers less than or equal to 9.
54

The number of rows in an auditorium can be represented by the function f(x) = 80x.The number of seats in each row can be represented by the function g(x) = x + 7.Which function represents the total number of seats, h(x) = f(x)g(x)?

h
h(x) = 136x
h
h(x) = 80x2 + 560x
h
h(x) = 80x + 560
h
h(x) = 80x2 + 560
55

x

e
exponential
l
linear
q
quadratic
s
square root
56

Over which interval does the exponential show a more rapid rate of change?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
57

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

3
3
6
6
1
112
1
121
58

three

Question illustration
T
The vertex is the maximum value.
T
The axis of symmetry is x = .
Option T
T
The domain is all real numbers.
T
The range is all real numbers.
T
The function is decreasing from (−∞, 6.75).
59

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800. x = number of yearsThe following functions represent the value of the savings accounts in x years:Jack’s savings account: f(x) = 1000(1.015)xSusie’s savings account: g(x) = 800(1.015)x Which function represents the total amount Jack and Susie will save in x years?

2
200(1.015)x
1
1800(1.015)x
1
1800(1.015)2x
1
1800(1.030)x
60

three

Question illustration
T
The value of f(–10) = 82
T
The graph of the function is a parabola.
T
The graph of the function opens down.
T
The graph contains the point (20, –8).
T
The graph contains the point (0, 0).

Did you find these answers helpful?

More from this Course

Assignment
21 verified answers

Geometric Sequences

Instruction
23 verified answers

Instruction

Assignment
22 verified answers

Assignment