For example the function is : syms t k=t*heaviside(5-t)+5*heaviside(t-5) ;MATLAB: I have a symbolic function, I want to know the points of discontinuity.
functionrootssymbolic
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Connected lines x=-1:0.01:1;y(x>=-1 & x<0)=-1-x(x>=-1 & x<0);y(x>=0 & x<=1)=1-x(x>=0 & x<=1);plot(x,y)Alternative, not connected lines
x1=-1:0.01:0-0.01;x2=0:0.01:1;y1(x1>=-1 & x1<0)=-1-x1(x1>=-1 & x1<0);y2(x2>=0 & x2<=1)=1-x2(x2>=0 & x2<=1);plot(x1,y1)hold onplot(x2,y2,'r')Start the plot slightly below 0 so as to give it a chance to see the full discontinuity at 0.
syms x f = 8*heaviside(x) - 8*(heaviside(x).*x-heaviside(x-4).*(x-4).^1)+40*(heaviside(x-4).*(x-4).^0)-16*heaviside(x-6).*(x-6).^0; xlim([-1, 7]); ylim([-5 20]); hold onfplot(f,[-1 6])
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