How to draw the graph of a function that has different structure in its different domain

Question

zahid 2015-12-13

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https://ww2.mathworks.cn/matlabcentral/answers/260066-how-to-draw-the-graph-of-a-function-that-has-different-structure-in-its-different-domain

回答： Star Strider 2015-12-13

Dear all suppose i want to find the graph of a function such that f(x)=4+x/(2+x^2) when x>0 and f(x)=4-x/(2-x^2) for x<=0 .How i can draw the two different forms of a function in different domain in a single graph with x-axis [-1,1].

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Answer 1

Star Strider 2015-12-13

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https://ww2.mathworks.cn/matlabcentral/answers/260066-how-to-draw-the-graph-of-a-function-that-has-different-structure-in-its-different-domain#answer_203057

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Using logical indexing operations, this works:

f = @(x) (4+x./(2+x.^2)).*(x>0) + (4-x./(2-x.^2)).*(x<0);   % Function
x = linspace(-1, 1, 250);                                   % Define ‘x’
figure(1)
plot(x, f(x))                                               % Plot
grid