Answers25-26 TX-Precalculus BUnit Test

Unit Test — Cumulative exam Answers

25 verified answers
1
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What is the value of ?

Question illustration
A
–38
B
–14
C
6
D
38
2
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Consider the sequence 1, 3, 9, 27, 81, …Which statement describes the sequence?

A
The sequence diverges.
B
The sequence converges to 1.
C
The sequence converges to ∞.
D
The sequence converges to –∞.
3

Khalid wrote the sequence below.Which formula can be used to find the 10th term of the sequence?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
4

What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?

A
4
B
8
C
16
D
64
5

Stu takes a job with a starting salary of $65,000 for the first year. He earns a 2% increase each year. To the nearest dollar, how much does Stu make over the first five years?

A
$325,000
B
$331,500
C
$338,263
D
$358,826
6

Which equation represents a parabola with its vertex at (1, –5) and its focus at (1, 0)?

A
= (x – 1)2
Option A
B
20(y + 5) = (x – 1)2
C
–20(y + 5) = (x – 1)2
D
= (x – 1)2
Option D
7

In a geometric sequence, and . What is the 12th term?

Question illustration
A
5,616
B
354,294
C
14,350,365
D
234,812,358
8

What is the missing value in the following arithmetic sequence?n12345an23.85.6 9.2

A
7.1
B
7.2
C
7.4
D
7.5
9

Which image shows a plane slicing a double-napped cone to produce a hyperbola?

A
2 cones are stacked at their points. A horizontal plane goes through the center of a cone.
Option A
B
2 cones are stacked at their points. A plane goes diagonally through the center of a cone.
Option B
C
2 cones are stacked at their points. A plane goes diagonally along the sides of the cones.
Option C
D
2 cones are stacked at their points. A plane goes diagonally through both cones.
Option D
10

Gas prices are expected to rise 5% each week for the next six weeks. Kevin spent $52.50 to fill his tank this week. Which of the following represents the total amount Kevin can expect to spend to fill his tank over the next three weeks, if he fills his tank once a week?

A
$52.50 + $55.13 + $57.76
B
$52.50 + $55.13 + $57.88
C
$55.13 + $57.76 + $60.39
D
$55.13 + $57.88 + $60.78
11

Review the graph of function f(x), which is defined for –4 < x ≤ 2.

Question illustration
A
DNE DNE 2 2
B
5 5 2 2
C
DNE 5 2 DNE
D
5 DNE DNE 2
12

Question text not available

Question illustration
A
x = −4.6 and x = 4.6
B
x = −3.5 and x = 3.5
C
y = −4.6 and y = 4.6
D
y = −3.5 and y = 3.5
13

A furniture store offers a one-year monthly installment plan for a set of living room furniture. The payment for the first month is $65, and then it increases by 5% each month for the rest of the year. How much money is paid after 12 months? Round your answer to the nearest dollar.

A
$780
B
$819
C
$1,035
D
$1,401
14

Consider Which statement correctly uses limits to determine the end behavior of g(x)?

A
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4.
B
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4.
C
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
D
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 x Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches infinity.
15

What is the positive slope of the asymptote of = 1? The positive slope of the asymptote is .

Answer not available
16

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
17

Which recursive formula describes the sequence below?5, 13, 29, 61, 125, ...

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
18

Review the graph of f(x).

A
The graph shows so the function has a vertical asymptote at x = 2.
B
The graph shows so the function has a vertical asymptote at x = –1.
C
The graph shows so the function has a horizontal asymptote at y = 2.
D
The graph shows so the function has a horizontal asymptote at y = –1.
19

What is ?

Question illustration
A
Negative StartFraction 3 StartRoot 3 EndRoot Over 2 EndFraction
B
Negative StartFraction StartRoot 3 EndRoot Over 6 EndFraction
C
StartFraction StartRoot 3 EndRoot Over 6 EndFraction
D
StartFraction 3 StartRoot 3 EndRoot Over 2 EndFraction
20

A mirror has a parabolic surface defined by the equation y = x2 with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?

Question illustration
A
in.
Option A
B
in.
Option B
C
in.
Option C
D
in.
Option D

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