Math Problem Statement
Solution
The question is asking which of the given functions has a frequency of 2. Frequency is related to the number of complete cycles a wave completes in one unit of time (usually in terms of the x-axis, representing time or space).
To determine which function has a frequency of 2, we need to check how many complete cycles occur over a given period on the x-axis. The frequency (f) is the reciprocal of the period (T), so if a wave has a frequency of 2, it means it completes 2 full cycles per unit length along the x-axis.
By observing the graphs:
- Each complete wave cycle corresponds to one period.
- The function with 2 cycles in the span of 1 unit on the x-axis will have a frequency of 2.
Looking closely at the graphs, the one with 2 full cycles in the range from 0 to 1 would be the correct answer. You can verify by counting the cycles.
Do you want me to go over any specific details or help clarify more about frequency or period?
Here are some related questions to explore:
- How do you calculate the period from a wave function?
- What is the formula relating the frequency and period of a wave?
- How do you determine the amplitude of a wave from its graph?
- What is the phase shift of a trigonometric wave function?
- Can the frequency of a wave change depending on its amplitude?
Tip: The frequency is inversely proportional to the period of the wave. If you know the period, you can find the frequency by taking its reciprocal!
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Math Problem Analysis
Mathematical Concepts
Wave Functions
Frequency
Period
Formulas
Frequency = 1 / Period
Theorems
Relationship between frequency and period
Suitable Grade Level
Grades 9-12
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