How can I plot this piecewise function? Can someone explain what I am missing?

Can someone explain what I am missing? I am not quite sure what the error is.

syms x 
syms y
f_y=1./(3*sqrt(y))

f_y = 

f_y_plot=piecewise(x < 0,0,x > 0,f_y)

f_y_plot = 

fplot(f_y_plot)

Error using fplot>singleFplot
Input must be a function or functions of a single variable.

Error in fplot>@(f)singleFplot(cax,{f},limits,extraOpts,args) (line 200)
hObj = cellfun(@(f) singleFplot(cax,{f},limits,extraOpts,args),fn{1},'UniformOutput',false);

Error in fplot>vectorizeFplot (line 200)
hObj = cellfun(@(f) singleFplot(cax,{f},limits,extraOpts,args),fn{1},'UniformOutput',false);

Error in fplot (line 166)
hObj = vectorizeFplot(cax,fn,limits,extraOpts,args);

[DJ]

What is the relation between x and y? If there isn't you might have to use other methods to plot what you want to plot, as fplot requires input function to be of single variable as shown in the error.

Answer 1

[Youssef Noureddine]

Hi Tony,

As mentioned by DJ, fplot is a 2-D plot that can only show the relationship of a variable against one other variable. Your example 'f_y_plot' depends on both the values of x and y. I would take another look at how you have defined the equations if you intended the variable to only depend on one of them. Otherwise I would recommend the use of other functions that let you plot a variable that is a function of more than one variable. Refer to the following functions: fcontour, fmesh, fsurf (and potentially fplot3) for plotting of the form z = f(x,y) and decide on which is most optimal based on your use case.

I've attached the links to all the functions for convenience:

https://www.mathworks.com/help/matlab/ref/fcontour.html

https://www.mathworks.com/help/matlab/ref/fmesh.html

https://www.mathworks.com/help/matlab/ref/fsurf.html

https://www.mathworks.com/help/matlab/ref/fplot3.html

Sincerely,

Youssef