Consider the function f(z)=4y+xi where z=x+iy and x,y\in\mathbb{R} . Which of the following statements is/are false?

Question

Consider the function   f(z)=4y+xi  where   z=x+iy  and   x,y\in\mathbb{R} . Which of the following statements is/are false?

Answer

f(z)  is nowhere differentiable.

Answer

f(z)  is nowhere analytic.

Answer

None of the others.

Answer

f(z)  is continuous everywhere on   \mathbb{C} .

Answer

There exists   z_0\in\mathbb{C}  such that   f(z)  is differentiable at   z_0 .

Answer

There exists   z_0\in\mathbb{C}  such that   f(z)  is analytic at   z_0  .

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