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A sine wave is a simple vertical line in the frequency domain because the horizontal axis of the frequency domain is frequency, and there is only one frequency, i.e. no harmonics, in a pure sine wave.

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Q: Why a sine wave is a simple vertical line in a frequency domain?
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If a domain repeatable in function then this is not afuntion and if the range repeat then this is a function why?

Because, if the Domain(x-values) repeats, when graphed on a coordinate plane, there will be multiple dots in a vertical line. If you were to conduct the Vertical Line Test, and there are two points in one straight vertical line, this would not be a function. If the Range(y-values) repeats, this would be a function, because if the Domain is different, then there will be no points plotted in the same line.


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Yes a undefined slope is a vertical line so the domain would be a single number and the range would be all reals


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A vertical line goes straight up an down, so a vertical line segment is a line segment that goes straight up and down. Simple.


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A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.


How to scketch graphs of functions?

the domain value is the x coordinate, and the range is the y coordinate. after graphing, do the vertical-line-test to see if it is a function or not.


What is the name of the vertical line?

A vertical line!


Why sinusoidal signal is called basic signal?

The sinusoidal signal is called a basic signal because, by Fourier Analysis, you can not further reduce it. It is one sine wave of one frequency of one amplitude of one phase. It has no harmonics. If you converted it from time domain to frequency domain you would only get one line, at the fundamental frequency.


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What is the slope of a line parallel to a vertical line?

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