create a function that is defined by parts in matlab

To create a function that is defined by parts in Matlab, you can use the piecewise function. This function allows you to define a function by parts using symbolic math.

Here is an example:

main.m
syms x

f = piecewise(x<-1, 3*x+2, -1<=x<=1, x^2, x>1, 3*x-2);

x_values = linspace(-2,2,100);

y_values = zeros(1,100);

for i = 1:100
    
    y_values(i) = double(subs(f, x, x_values(i)));
    
end

plot(x_values, y_values);
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In this example, we define the function f by parts using the piecewise function. The first argument to piecewise is the condition, and the second argument is the corresponding function value.

The subs function is used to evaluate the function f for each value in x_values. The double function is used to convert the symbolic output of subs to a numeric value.

Finally, we plot the function using plot.

You can modify the conditions and function values in the piecewise function to define your own function by parts.