AnswersSC-Pre-Calculus AUnit Test

Unit Test — Unit test Answers

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1
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What is the solution set of ?

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Option A
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Option B
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Option C
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Option D
2
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Identify the graph of the rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
3

What is the solution of ?

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Option A
B
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C
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Option C
D
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Option D
4

Which statement describes the vertical asymptotes of the graph of ?

Question illustration
A
The graph has no vertical asymptote.
B
The graph has a vertical asymptote at x = 8 only.
C
The graph has a vertical asymptote at x = –8 only.
D
The graph has vertical asymptotes at both x = 8 and x = –8.
5

What is the correct form of the partial fraction decomposition for ?

Question illustration
A
StartFraction A Over x + 2 EndFraction + StartFraction B Over (x + 2) squared EndFraction
B
StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over (x + 2) squared EndFraction
C
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C Over (x + 2) squared EndFraction
D
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C x + D Over (x + 2) squared EndFraction
6

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of ?

Question illustration
A
A + StartFraction B Over x + 3 EndFraction + StartFraction C Over 2 x minus 7 EndFraction
B
A + StartFraction B x + C Over x + 3 EndFraction + StartFraction D x + E Over 2 x minus 7 EndFraction
C
A x + B + StartFraction C Over x + 3 EndFraction + StartFraction D Over 2 x minus 7 EndFraction
D
A x + B + StartFraction C x + D Over x + 3 EndFraction + StartFraction E x + F Over 2 x minus 7 EndFraction
7

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Question illustration
A
As x approaches -7 from the left, y approaches ∞.
B
As x approaches -7 from the right, y approaches -∞.
C
As x approaches 7 from the left, y approaches –∞.
D
As x approaches 7 from the right, y approaches –∞.
8

What is the solution of ?

Question illustration
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or x > 4
Option A
B
or x > 4
Option B
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Option C
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Option D
9

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?

A
1 shot
B
4 shots
C
10 shots
D
14 shots
10

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
11

What is the partial fraction decomposition of ?

Question illustration
A
StartFraction 1 Over 3 x EndFraction + StartFraction x minus 2 Over 4 x squared + 9 EndFraction
B
StartFraction 1 Over 3 x EndFraction + StartFraction x + 2 Over 4 x squared + 9 EndFraction
C
StartFraction negative 2 Over 3 x EndFraction + StartFraction x minus 1 Over 4 x squared + 9 EndFraction
D
StartFraction negative 2 Over 3 x EndFraction + StartFraction x + 1 Over 4 x squared + 9 EndFraction
12

Review the work showing the first few steps in writing a partial fraction decomposition.x3 + 8x – 3 = (Ax + B)(x2 + 5) + Cx + Dx3 + 8x – 3 = Ax3 + 5Ax + Bx2 + 5B + Cx + D

Question illustration
A
A = 0; B = 1; C = –3; D = 3
B
A = 0; B = 1; C = 3; D = –3
C
A = 1; B = 0; C = –3; D = 3
D
A = 1; B = 0; C = 3; D = –3
13

The graph of has a vertical asymptote at x = .

Answer not available
14

What is the quotient and remainder, written as partial fractions, of ?

Question illustration
A
2 x minus 4 minus StartFraction 2 Over x + 4 EndFraction + StartFraction 1 Over x minus 2 EndFraction
B
2 x minus 4 + StartFraction 2 over x + 4 EndFraction + StartFraction 1 Over x minus 2 EndFraction
C
2 x minus 4 minus StartFraction 2 over x + 4 EndFraction minus StartFraction 1 Over x minus 2 EndFraction
D
2 x minus 4 + StartFraction 2 over x + 4 EndFraction minus StartFraction 1 Over x minus 2 EndFraction
15

Question text not available

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Option
Option A
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Option
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Option
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Option
Option D
16

At which values of x does the graph of have a vertical asymptote? Check all that apply.–4–1124

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A
–4
B
–1
C
1
D
2
E
4
17

Which graph shows the solution set of ?

Question illustration
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mc011-2.jpg
Option A
B
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Option B
C
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Option C
D
mc011-5.jpg
Option D
18

Identify the graph of a rational function that is decreasing on the interval (–5, 5).

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Option
Option A
B
Option
Option B
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Option
Option C
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Option
Option D
19

What is the solution of ?

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or
Option A
B
or
Option B
C
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Option C
D
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Option D
20

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of ?

Question illustration
A
A + StartFraction B Over (x minus 3) squared EndFraction
B
A x + B + StartFraction C Over (x minus 3) squared EndFraction
C
A + StartFraction B Over x minus 3 EndFraction + StartFraction C Over (x minus 3) squared EndFraction
D
A x + B + StartFraction C Over x minus 3 EndFraction + StartFraction D Over (x minus 3) squared EndFraction

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