Question

The function f(z) = |z| is a non-constant

Answer 1

Answer:

The function f(z) = |z| is a non-constant

Answer 2

Analytic function is the correct answer

Step-by-step explanation:

To find:

The function f(z)=|z|is a non constant

A) Analytic function

B) Nowhere analytic function

C) Nonanalytic function

D) None of these

Step-by-step explanation:

• The function f(z)=|z|is a non-constant  Analytic function

• In complex analysis, Liouville's theorem, named after Joseph Liouville, states that every bounded entire function must be constant. That is, every holomorphic function f for which there exists a positive number M such that |f(z)| ≤ M for all z in C is constant.

• The theorem follows from the fact that holomorphic functions are analytic.

hence, Analytic function is the correct answer