odd and even functions
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given this function is there a way in matlab with which i can know is its odd, even or neither?
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Voss
le 6 Mai 2022
One thing you can do is to plot the function and visually inspect it:
f = @(x)0.5*(sin(x)+abs(sin(x)));
fplot(f,[-pi pi])
It doesn't look even or odd.
You could also evaluate the function at some values of x and -x and compare the results:
x = -pi:0.1:pi;
is_even = isequal(f(x),f(-x))
is_odd = isequal(f(x),-f(-x))
(A sanity check with functions known to be odd or even)
f = @(x)sin(x);
is_even = isequal(f(x),f(-x))
is_odd = isequal(f(x),-f(-x))
f = @(x)cos(x);
is_even = isequal(f(x),f(-x))
is_odd = isequal(f(x),-f(-x))
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David Hill
le 6 Mai 2022
x=-pi:.001:pi;
f=@(x).5*(sin(x)+abs(sin(x)));
if isequal(f(x),f(-x))
even_odd=2;%even
elseif isequal(-f(x),f(-x))
even_odd=1;%odd
else
even_odd=0;%neither
end
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