Understanding the f(t) Function of a Graph

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The graph in question does not accurately represent the function f(t) = u[sin(pi*t)]. The amplitude of the sine wave appears to be approximately 1.3, not 1.0, and the graph depicts a combination of time-shifted u(t) pulses and a 1.3sin() waveform. To better represent the sine component, a series of shifted u(t) pulses multiplied by 1.3sin() is recommended. Additionally, the discussion raises a question about the value of f(0.9), highlighting the discrepancy between the sine wave and the square wave behavior at that point. The conclusion emphasizes that the graph does not conform to the definition of a function, which requires a unique y-value for each x-value.
MylordGoblin
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can somebody tell me wath the function of this graph is ?

http://studweb.hogent.be/~023112kv/graph.JPG"

Is this correct ?

f(t) = u [ sin (pi*t) ]



thx
 
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MylordGoblin said:
Is this correct ?

f(t) = u [ sin (pi*t) ]

thx
I don't think so. First of all, the amplitude of the sine looks to be about 1.3, not 1.0. And the graph shows both a series of a time-shifted u(t) pulses and the result of multiplying that pulse train time the 1.3sin() waveform.

If you want to represent the sine part of the graph, make a series of u(t) pulses shifted by 2 each time, and multiply that series times 1.3sin(). That should get you closer.
 
Maybe this doesn't answer your question, but i don't think this is a function see the first property of a function is that there is one and only one value of y for every value of x
can you tell me what does f(0.9) equal ?
is it near zero like the sine wave says or is it 1 like the square waves show...
 
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