Question

How is a linear function described as?

(a) Zero in Finite out

(b) Zero in infinite out

(c) Zero in zero out

(d) Zero in Negative out

I have been asked this question in an international level competition.

This interesting question is from Discrete-Time Systems in the Time-Domain in section Signals and Systems Basics of Signals and Systems

Answer 1

Right option is (c) Zero in zero out

To elaborate: The system needs to give a zero output for a zero input so as to conserve the law of additivity, to ensure linearity.