What is the period of a periodic function?
Big Review #4 (Passwater questions)

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The period of a periodic function is the length of the interval over which the function repeats itself. For example, if a function f has a period of T, then f(x) = f(x + T) for all x.
2.
FLASHCARD QUESTION
Front
How do you determine the amplitude of a function?
Back
The amplitude of a function is the maximum distance from the midline of the graph to its peak or trough. For example, for a function of the form h(x) = A sin(x), the amplitude is |A|.
3.
FLASHCARD QUESTION
Front
What is the relationship between the amplitude of two functions with the same period?
Back
If two functions have the same period, their amplitudes can differ. For example, if g(x) = cos(x) has an amplitude of 1, a function h with the same period but an amplitude of 2 can be defined as h(x) = 2g(x).
4.
FLASHCARD QUESTION
Front
What is the natural logarithm of a product?
Back
5.
FLASHCARD QUESTION
Front
How do you evaluate logarithmic functions?
Back
6.
FLASHCARD QUESTION
Front
Back
7.
FLASHCARD QUESTION
Front
What is the effect of a negative coefficient in a tangent function?
Back
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