
Pre-Calculus REVIEWER 2
Authored by MON PH
Mathematics
University

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37 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the amplitude of a trigonometric function represent?
The vertical shift of the graph
The horizontal shift of the graph
The maximum absolute value of the function's output
The number of cycles completed in one period
Answer explanation
The amplitude of a trigonometric function represents the maximum distance from the function's midline to its peak or trough, indicating the height or intensity of its oscillation.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function y = 3sin(2x - π/4), what is the amplitude?
2
3
-3
π/4
Answer explanation
The amplitude of the function y = 3sin(2x - π/4) is 3.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following represents the period of the function y = 4cos(3x)?
4
3
2π/3
2π/3
Answer explanation
The period of the function y = 4cos(3x) is given by 2π divided by the coefficient of x, which is 3, resulting in a period of 2π/3.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function y = -2cos(x + π/2), what is the phase shift?
π/2 units to the left
π/2 units to the right
No phase shifts
2π units to the left
Answer explanation
The function y = -2cos(x + π/2) has a phase shift of π/2 units to the right, as the argument inside the cosine function is adjusted by adding π/2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the function y = 5 + 3sin(x)?
[2, 8]
[3, 8]
[-2, 8]
[3, 5]
Answer explanation
The range of the function y = 5 + 3sin(x) can be obtained by considering that the sine function oscillates between -1 and 1; adding 5 and multiplying by 3 extends the range to [2, 8].
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A Ferris wheel completes a full revolution every 60 seconds. The height of a passenger can be modeled by the function h(t) = 30sin(π/30 * t) + 40, where h(t) represents the height in feet above the ground and t represents time in seconds. What is the amplitude of this function?
30 feet
40 feet
10 feet
70 feet
Answer explanation
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following statements is true about trigonometric identities?
They are true for specific values of the variables.
They are true for all values of the variables within the domain.
They have limitations in their validity.
They are only true for integers.
Answer explanation
Trigonometric identities are true for all values of the variables within their specified domains, providing universally valid relationships among trigonometric functions.
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