Question: Let z C. (a) Prove that |12| is single-valued if and only if Im z = 0. (b) Find a necessary and sufficient condition

Let z C. (a) Prove that |12| is single-valued if and only

Let z C. (a) Prove that |12| is single-valued if and only if Im z = 0. (b) Find a necessary and sufficient condition for |iz | to be single-valued. (c) (extra credit) Show by counterexample that the statement is false: 12 is single-valued if and only if Im z = 0.

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