Understanding the f(t) Function of a Graph

In summary, the conversation discusses the function of a graph and whether it accurately represents the given equation. The participants also question the validity of the graph as a function and discuss the value of f(0.9). They suggest that the graph does not accurately represent the function and provide suggestions on how to improve it.
  • #1
MylordGoblin
1
0
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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  • #2
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.
 
  • #3
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...
 

1. What is the f(t) function of a graph?

The f(t) function of a graph represents the relationship between the input variable t and the output variable f. It is a mathematical formula that describes how the output changes as the input variable varies.

2. How is the f(t) function related to the graph?

The f(t) function is represented by the graph, where the input variable t is plotted on the x-axis and the output variable f is plotted on the y-axis. The shape and characteristics of the graph provide information about the behavior of the f(t) function.

3. What does the derivative of the f(t) function tell us?

The derivative of the f(t) function measures the rate of change of the function at a specific point. It gives us information about the slope of the graph at that point and can be used to find the instantaneous rate of change.

4. How can we use the f(t) function to make predictions?

By analyzing the behavior of the f(t) function and its graph, we can make predictions about the future behavior of the system or phenomenon it represents. This can be useful in various fields such as physics, economics, and engineering.

5. What are some real-life applications of understanding the f(t) function of a graph?

Understanding the f(t) function can help us analyze and predict the behavior of systems in various fields such as finance, population growth, and chemical reactions. It also has applications in data analysis and machine learning.

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