The amplitude of a periodic function is 3.5 units and the minimum value of the function is 2. What is the maximum value of the function?
3.1-3.3 Quiz

Quiz
•
Mathematics
•
11th Grade
•
Medium
Stephen Smith
Used 3+ times
FREE Resource
12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3.5
5.5
7
9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A periodic functions goes through 15 cycles in 7 minutes. What is the period of one cycle?
33 seconds
30 seconds
28 seconds
21 seconds
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the periodic function, a portion of the graph is shown below. Given that f(−2) = 3, find the value of the period, k. It is known, for any integer value of n, that f(x + nk) = f(−2). What is the ordered pair on the graph of f when n = 2?
k = 12; f(10) = 3
k = 16; f(30) = 3
k = 16; f(34) = −2
k = 12; f(−26) = 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the point (x,y) on the unit circle that corresponds to the real number t = (17π/6).
( -√3/2 , 1/2 )
( √3/2 , -1/2 )
( √3/2 , 1/2 )
( -1/2 , √3/2 )
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The figure shows a circle centered at the origin with an angle of measure θ radians in standard position. The coordinates of P are (-x,y) where the terminal ray of the angle intersects the circle. Which of the following statements is true about the cosine of θ?
cos θ = y/3, because it is the ratio of the vertical displacement of P from the y-axis to the distance between the origin and P
cos θ = -y/3, because it is the ratio of the vertical displacement of P from the y-axis to the distance between the origin and P
cos θ = -x/3, because it is the ratio of the horizontal displacement of P from the y-axis to the distance between the origin and P.
cos θ = x/3, because it is the ratio of the horizontal displacement of P from the y-axis to the distance between the origin and P.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If sin θ < 0 and cos θ = -2/5, find tangent of θ and the coordinates of point P = (x,y)
tan θ = -√21/5; P = (5, -√21)
tan θ = √21/2; P = (-2, -√21)
tan θ = √29/2; P = (-2, -√29)
tan θ = 2/√21; P = (-√21, -2)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
State the amplitude, period, and midline for y = g(x). Use the graph to analyze the function and complete the following question.
amplitude: 8 period: 6 midline: y = 1
amplitude: 5 period: 12 midline: y = 1
amplitude: 4 period: 12 midline: y = 1
amplitude: 8 Period: 6 midline: y = 2
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