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How to prove mathematical parity
This function is a piecewise function. If you want to prove that this function is odd function, you need to prove that X >;; 0 and x

1, when -x<;,-x <; 0 into -x? -2x-3。 have

f(-x)=-(-x)? -2(-x)-3=-x? +2x-3= -(x? -2x+3)=-f(x)∴f(-x)=-f(x);

2. when x

f(-x)=(-x)? -2(-x)+3=x? +2x+3= -( -x? -2x-3)=-f(x) ∴ f(-x)=-f(x)

3 and f(0)=0.

∴ In the domain of f(x), there is f (-x) =-f(x). According to odd function's definition, f (x) is known as odd function. Complete the certificate.