Question

explain homogeneous function with an example.
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Answer 1

Answer:

homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor. For example, a homogeneous real-valued function of two variables x and y is a real-valued function that satisfies the condition.

Step-by-step explanation:

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Answer 2

hey mate here is your answer....

In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor. For example, a homogeneous real-valued function of two variables x and y is a real-valued function that satisfies the condition.

example:

The function {\displaystyle f(x,y)=x^{2}+y^{2}}is homogeneous of degree 2:{\displaystyle f(tx,ty)=(tx)^{2}+(ty)^{2}=t^{2}(x^{2}+y^{2})=t^{2}f(x,y).}For example, suppose x = 2, y = 4 and t = 5. Then{\displaystyle f(x,y)=2^{2}+4^{2}=4+16=20} and{\displaystyle f(5x,5y)=5^{2}(2^{2}+4^{2})=25(20)=500}

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