Question

Danny :D

Answer 1

User: EMILY KLOTH
In Course: Algebra II V13 ( 3941)
Instructor: Violet Esopakis
Exam: 10.08 Module Ten Review and Practice Test
Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.

Question 1 (Multiple Choice Worth 1 points)

(10.04 MC)

Where are the asymptotes of f(x) = tan(2x − π) from x = pi over 2 to x = 3 pi over 2?

x = 3 pi over 4, x = 5 pi over 4
x = 0, x = π, x = 2π
x = 0, x = pi over 4
x = pi over 2, x = 3 pi over 2
Question 2 (Multiple Choice Worth 1 points)

(10.04 MC)

In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Crescent Moon Bay's water level in July as a function of time (t).

f(t) = 2 cos pi over 6 t + 4
f(t) = 4 cos pi over 6 t + 2
f(t) = 4 cos pi over 2 t + 2
f(t) = 2 cos pi over 2 t + 4
Question 3 (Multiple Choice Worth 1 points)

(10.06 MC)

Compare each of the functions shown below:


f(x) = 4 cos(2x − π) + 3

g(x)

graph of a downward facing parabola with vertex at 2, 3
h(x)

x y
−1 −11
0 −6
1 −3
2 −2
3 −3
4 −6
5 −11


Which function has the largest maximum?
f(x)
g(x)
h(x)
All three functions have the same maximum value.
Question 4 (Multiple Choice Worth 1 points)

(10.04 MC)

In what direction and by how many units is the graph of f(x) = −3 cos(2x − π) + 2 vertically and horizontally shifted?

Down 2, left pi over 2
Down 2, right pi over 2
Up 2, left pi over 2
Up 2, right pi over 2
Question 5 (Multiple Choice Worth 1 points)

(10.01 MC)

If sin Θ = 1 over 3 and tan Θ < 0, what is the value of cos Θ?

2 square root of 2 over 3
negative 2 square root of 2 over 3
2 square root of 2
negative 2 square root of 2
Question 6 (Multiple Choice Worth 1 points)

(10.02 MC)

For an angle Θ with the point (15, −8) on its terminating side, what is the value of cosine?

negative 8 over 18
15 over 17
−8
15
Question 7 (Multiple Choice Worth 1 points)

(10.01 MC)

What are the sine, cosine, and tangent of 5 pi over 4 radians?

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = −1
sin Θ = negative square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1
sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1
sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = −1
Question 8 (Multiple Choice Worth 1 points)

(10.04 MC)

Which of the following graphs best represents f(x) = −2 sin(4x) + 3?

graph of a trigonometric function with points at 0, 3 and pi over 4, 3 and pi over 2, 3
graph of a trigonometric function with points at 0, 3 and pi over 4, 3 and pi over 2, 3
graph of a trigonometric function with points at 0, 5 and pi over 4, negative 1 and pi over 2, 5
graph of a trigonometric function with points at 0, negative 1 and pi over 4, 5 and pi over 2, negative 1
Question 9 (Multiple Choice Worth 1 points)

(10.04 MC)

What are the period and phase shift for f(x) = −4 tan(x − 𝜋)?

Period: 𝜋; phase shift: x = pi over two
Period: 𝜋; phase shift: x = 𝜋
Period: 2𝜋; phase shift: x = pi over two
Period: 2𝜋; phase shift: x = 𝜋
Question 10 (Multiple Choice Worth 1 points)

(10.05 MC)

Simplify quantity 1 minus cosine squared theta divided by sine squared theta..

1
sin2 È
cos2 È
tan2 È
Question 11 (Multiple Choice Worth 1 points)

(10.02 MC)

There is a piece of tape attached to a hula hoop. The tape rotates to (−7, 20) during one spin. What is the sine value of this function?

−7
20
20 square root 449 over 449
negative 7 square root 449 over 449
Question 12 (Multiple Choice Worth 1 points)

(10.04 MC)

How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?

The function shifts down 3 units, so the range changes from −1 to 1 in f(x) to −4 to −2 in g(x).
The function shifts down 3 units, so the range changes from −5 to 5 in f(x) to −8 to 2 in g(x).
The function shifts down 5 units, so the range changes from −1 to 1 in f(x) to −6 to −4 in g(x).
The function shifts down 5 units, so the range changes from −5 to 5 in f(x) to −10 to 0 in g(x).
Question 13 (Multiple Choice Worth 1 points)

(10.06 MC)

Compare each of the functions shown below:


f(x)

sine curve with points at 0, 0 and pi over 2, 2 and pi, 0 and 3 pi over 2, negative 2 and 2 pi, 0
g(x)

x y
0 0
pi over 2 4
π 0
3 pi over 2 −4
2π 0
h(x) = sin(x − π) + 5



Which function has the greatest rate of change on the interval from x = 0 to x = pi over 2?
f(x)
g(x)
h(x)
All three functions have the same rate of change.
Question 14 (Multiple Choice Worth 1 points)

(10.04 MC)

Where are the x-intercepts for f(x) = -4 cos(x – pi over two) from x = 0 to x = 2π?

x = 3 pi over 4, x = 5 pi over 4, x = 7 pi over 4
x = pi over 2, x = 3 pi over 2
x = 3 pi over 4, x = 5 pi over 4
x = pi over 2, x = 3 pi over 2, x = 5 pi over 2
Question 15 (Multiple Choice Worth 1 points)

(10.01 MC)

The tip of a 12-inch wiper blade wipes a path that is 30 inches long. What is the angle of rotation of the blade in radians to the nearest tenth?

0.4 radians
1.3 radians
2.5 radians
5.0 radians
Question 16 (Multiple Choice Worth 1 points)

(10.01 LC)

What is the arc length if Θ = 6 pi over 5 and the radius is 2 cm?

3 pi over 10
24 pi over 5
5 pi over 12
12 pi over 5
Question 17 (Multiple Choice Worth 1 points)

(10.04 MC)

What are the amplitude, period, and midline of f(x) = 3 cos(4x − 𝜋) + 2?

Amplitude: 3; period: pi over 2; midline: y = 2
Amplitude: 3; period: pi over 4; midline: y = 2
Amplitude: 2; period: pi over 2; midline: y = 3
Amplitude: 2; period: pi over 4; midline: y = 3
Question 18 (Multiple Choice Worth 1 points)

(10.01 MC)

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?

9 pi over 100
100 pi over 9
2000π
1000π
Question 19 (Multiple Choice Worth 1 points)

(10.05 MC)

If sin Θ = 21 over 29, use the Pythagorean Identity to find cos Θ.

cos Θ = ± 8 over 29
cos Θ = ± 21 over 20
cos Θ = ± 29 over 20
cos Θ = ± 20 over 29
Question 20 (Multiple Choice Worth 1 points)

(10.04 MC)

Which of the following would best represent a sine function with an amplitude of 7, a period of pi over 4, and a midline at y = 3?

f(x) = 7 sin 8x + 3
f(x) = 3 sin 8x + 7
f(x) = 7 sin(pi over 4x) + 3
f(x) = 3 sin(pi over 4x) + 7
Question 21 (Multiple Choice Worth 1 points)

(10.04 MC)

Izzy's heartbeat rate was measured on an EKG machine. After conversion, the function produced could be modeled by a sine function, and the wave produced a maximum of 8, minimum of −2, and period of 𝜋. Which of the following functions could represent Izzy's EKG read-out?

f(x) = 8 sin 𝜋x − 2
f(x) = 5 sin 𝜋x + 3
f(x) = 5 sin 2x + 3
f(x) = 2 sin 2x + 𝜋
Question 22 (Multiple Choice Worth 1 points)

(10.04 MC)

Use the graph below to answer the question that follows:

cosine graph with points at 0, negative 1 and pi over 2, 3 and pi, negative 1

What are the amplitude, period, and midline of the function?

Amplitude: 8; period: π; midline: y = 1
Amplitude: 8; period: 2π; midline: y = 5
Amplitude: 4; period: 2π; midline: y = 5
Amplitude: 2; period: π; midline: y = 1
Question 23 (Multiple Choice Worth 1 points)

(10.04 MC)

What is the rate of change for f(x) = 7 sin x − 1 on the interval from x = 0 to x = pi over 2?

14 over pi
pi over 14
pi over 4
4 over pi
Question 24 (Multiple Choice Worth 1 points)

(10.04 MC)

Use the graph below to answer the question that follows:

graph of curve that passes through the following points: 0, 7 and pi over 2, negative 1 and pi, 7 and 3 pi over 2, negative 1

What is the rate of change between the interval x = π and x = three pi over two?

pi over 16
negative 16 over pi
pi over 4
negative 4 over pi
Question 25 (Multiple Choice Worth 1 points)

(10.06 MC)

Which of the following functions has the greatest y-intercept?


f(x)

x y
−3 9
−2 4
−1 1
0 0
1 1
2 4
g(x) = 5 cos(3x) − 5

f(x)
g(x)
f(x) and g(x) have the same y-intercept
Not enough information
YOU MUST CHECK THE BOX BELOW PRIOR TO SUBMITTING YOUR EXAM!

Check this box to indicate you are ready to submit your exam

Answer 2

O_O

Answer 3

lol hahahaha @dan