AnswersLAUSD-Pre-Calculus B PrescriptiveCumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

Question illustration
A
all real numbers except y = –3
B
all real numbers except y = 0
C
all real numbers except y = 3
D
all real numbers
22
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Write parametric equations of the line .a.c.b.d.

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A
A
B
B
C
C
D
D
23

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

A
g = 18 – 2h; 18 gallons
B
g = 18 – 2h; 16 gallons
C
g = 3h + 3; 30 gallons
D
g = 3h + 3; 12 gallons
24

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
25

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
43°
B
49°
C
53°
D
58°
26

Find if . a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
27

Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

Question illustration
A
all real numbers except y = –3
B
all real numbers except y = 0
C
all real numbers except y = 3
D
all real numbers
28

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
29

Which is equivalent to cos-1(0)? Give your answer in radians.

A
0
B
mc005-1.jpg
Option B
C
mc005-2.jpg
Option C
D
mc005-3.jpg
Option D
30

The matrix below represents a system of equations.Which matrix represents the solution to this system of equations?

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A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D
31

Which system of linear equations can be solved using the information below?

Question illustration
A
mc009-3.jpg
Option A
B
mc009-4.jpg
Option B
C
mc009-5.jpg
Option C
D
mc009-6.jpg
Option D
32

Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark.If represents the original location of the football, write a matrix that represents the location of the translated ball.a.c.b.d.

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A
A
B
B
C
C
D
D
33

Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4.a.r = ; hyperbolac.r = ; hyperbolab.r = ; hyperbolad.r = ; ellipse

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A
B
B
C
C
D
D
34

Law of sines:

Question illustration
A
No triangles can be formed.
B
One triangle can be formed where angle B is about 15°.
C
One triangle can be formed where angle B is about 40°.
D
Two triangles can be formed where angle B is 40° or 140°.
35

Find the exact value of .a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
36

What are the domain and range of the piecewise function below?

Question illustration
A
domain: range:
Option A
B
domain: or range: or
Option B
C
domain: range:
Option C
D
domain: or range: or
Option D
37

What is the equation of the graph below?

Question illustration
A
y = cosine (StartFraction x Over 0.4 EndFraction)
Option A
B
y = cos(5x)
C
y = cos(0.4x)
D
y = cosine (StartFraction x Over 5 EndFraction)
Option D
38

Write the equation of a hyperbola centered at the origin with x-intercepts and foci of . a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
39

Which solution finds the value of x in the triangle below?

Question illustration
A
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Option A
B
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Option B
C
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Option C
D
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.
Option D
40

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
Option B
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
Option C
D
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
Option D

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