AnswersS1S-OC Pre-Calculus A E3700 - AGPerformance Task: Modeling with Sinusoidal Functions

Performance Task: Modeling with Sinusoidal Functions — Unit test Answers

25 verified answers
21
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Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 2 to 2 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (pi by 2 comma 1) and (negative 3 by 2 pi comma 1). Another line y equals negative 1 touches at (3 by 2 pi comma negative 1) and (negative pi by 2 comma negative 1).
Option A
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 1 to 3 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 point 2 5 at (pi by 2 comma 1 point 2 5) and (negative 3 by 2 pi comma 1 point 2 5). Another line y equals 0 point 7 5 touches at (3 by 2 pi comma 0 point 7 5) and (negative pi by 2 comma 0 point 7 5).
Option B
C
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 0 at (pi by 2 comma 0) and (negative 3 by 2 pi comma 0). Another line y equals negative 2 touches at (3 by 2 pi comma negative 2) and (negative pi by 2 comma negative 2).
Option C
D
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 1 to 3 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 point 2 5 at (3 by 2 pi comma 1 point 2 5) and (negative pi by 2 comma 1 point 2 5). Another line y equals 0 point 7 5 touches at (pi by 2 comma 0 point 7 5) and (negative 3 by 2 pi comma 0 point 7 5).
Option D
22
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What is the domain of y = csc(x)?

A
all real numbers
B
all real numbers except , where n is any integer
Option B
C
all real numbers except , where is any integer
Option C
D
all real numbers greater than 1 or less than –1
23

How is the graph of y = csc(x – 6) transformed from its parent function?

A
It is the graph of y = csc(x) shifted 6 units up.
B
It is the graph of y = csc(x) shifted 6 units right.
C
It is the graph of y = csc(x) shifted 6 units left.
D
It is the graph of y = csc(x) shifted 6 units down.
24

Which graph represents y = tan-1x?

A
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction in quadrant 3, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction in quadrant 1.
Option A
B
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction, increases through an inflection point at (0, 0), and approaches y = StartFraction pi over 2 EndFraction.
Option B
C
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction in quadrant 2, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction in quadrant 4.
Option C
D
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction in quadrant 4, increases through an inflection point at (0, 0), and approaches y = StartFraction pi over 2 EndFraction in quadrant 2.
Option D
25

Which angle is coterminal to radians?

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D

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