- #1
btb4198
- 572
- 10
so I am thinking f(x) = sin(x) for -1<= f(x) =0.5; f(x) = e^(x)/10 for f(x)= <=1 ; f(x) = cos(x) for f(x) >=0.5
f(x) = -cos(x)
um... i do not think this is right.
help
Nice. From your graph you can see that there is a harmonic in the background (probably its frequency corresponds to your "e"), but there is something else on top of it that reflects the fact that you are close to producing an "e", but you do not manage to do that with mathematical perfection.btb4198 said:hi, so that is graph of an 12 Hole Ocarina playing the note e.
wait I can't make a function out of it ?
I think that is what the OP was trying to do.Nidum said:A method commonly used in engineering computation is to break down the curve of interest into a sequence of segments where each segment can be defined with a simple function .
Krylov said:I think that is what the OP was trying to do.
Because it appears this is the recording of a real musical instrument playing an "e", to me it would provide most insight to Fourier decompose the recording, keep as many modes as one likes and use these to reconstruct an approximation to the original signal.
The OP could do both: direct approximation using piecewise definition (using e.g. splines, as Nidum suggested) and a spectral approximation, and compare.
sorry,Krylov said:Nice. From your graph you can see that there is a harmonic in the background (probably its frequency corresponds to your "e"), but there is something else on top of it that reflects the fact that you are close to producing an "e", but you do not manage to do that with mathematical perfection.
Probably a spectral decomposition would show a peak at the "e" frequency, but in addition there will be some much smaller mini-peaks around it.
In mathematics, f(x) represents a function that maps an input value (x) to an output value (y). In the context of drawing graphs, f(x) refers to the equation or formula that determines the relationship between the x and y values and can be used to plot points on the graph.
To plot points on a graph using f(x), first choose a range of values for x. Then, substitute each value of x into the equation for f(x) to calculate the corresponding y value. Plot these points on the graph and connect them with a line to create the graph of the function.
Yes, you can use any equation for f(x) to draw a graph. However, some equations may result in more complex or unusual graphs, while others may produce more common and recognizable shapes such as lines, parabolas, or circles. It is important to understand the properties of different types of equations to accurately plot points and interpret the resulting graph.
One common mistake is to plot incorrect points by substituting the wrong values of x into the equation for f(x). It is also important to accurately scale the axes of the graph and label them appropriately. Additionally, forgetting to include units on the axes or labeling them incorrectly can lead to confusion and errors.
F(x) can be used to analyze and interpret a graph by examining its properties such as the slope, intercepts, and symmetry. These properties can provide information about the behavior of the function and its relationship to the input and output values. Additionally, comparing the graph of f(x) to other known functions can help identify patterns and make predictions about its behavior.