Homogeneous Function If \[g(tx,ty) = t^{\alpha}\cdot g(x,y)\] then \(g(x,y)\) is a homogeneous function of degree \(\alpha\) given \[M(tx,ty)=t^{\alpha}\cdot M(x, y)\] \[N(sx,sy)=s^{\beta}\cdot N(x, y)\] satisfy \(\(\alpha = \beta\)\)>