Mark (√) against the correct answer in the following:
f : C → R : f(z) = |z| is

Question

Mark (√) against the correct answer in the following: f : C → R : f(z) = |z| is

Philoid · Accepted Answer

Here in this range the lines cut the curve in 2 equal valued points of y therefore the function f(z) = |z| is not one - one

⇒f(z) = many one.

Range of f(z) = [0,∞)≠R(codomain)

∴f(z) is not onto.

⇒f(z) = into

Hence, f(z) = |z| is many one and into

Mark (√) against the correct answer in the following:f : C → R : f(z) = |z| is