A function is homogeneous of degree if which relation is satisfied for all non-zero real scalars ?

Answer and explanation

Correct answer: C.

  1. Step 1: By definition, a function is homogeneous of degree if substituting and scales the output by .
  2. Step 2: Mathematically: .
Answer
.
Why not the others: Multiplying by is not the degree scaling law; placing inside arguments is invalid; and adding shifts defines translation invariance, not homogeneity.

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