Question

The given pair x (t) and y (t) is _______

(a) Y (t) = d/dt (x (t))

(b) Y (t) = ∫x (t).dt

(c) Y (t) = x (t) -1

(d) Y (t) = x (t) /2

I had been asked this question in an interview.

Origin of the question is Basic Operations on Signals in portion Signals and Systems Basics of Signals and Systems

Answer 1

Right answer is (a) Y (t) = d/dt (x (t))

For explanation: The given pair x (t) and y (t) is related by y (t) = d/dt (x (t)). From -2 to 2 we have Y (t) is zero because differentiation of constant is zero.