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?
采纳的回答
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))
5 个评论
SSBGH
2022-5-6
SSBGH
2022-5-6
when i tried to plot it without [-pi pi] i got this
doesn't it look like an even function?
No. An even function is symmetric about the y-axis.
f = @(x)0.5*(sin(x)+abs(sin(x)));
fplot(f,[-15 7.5]);
set(gca(),'YAxisLocation','origin','YLim',[-0.2 2.2])
SSBGH
2022-5-6
Voss
2022-5-6
You're welcome!
更多回答（1 个）
David Hill
2022-5-6
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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