Question

what is the range of unit step function u (t-a)​

Answer 1

Answer:

t >= a

Step-by-step explanation:

A unit step signal u(t) = 1 when t ≥ 0 and 0 when t < 0

∴ u(t – a) = 1 when t – a ≥ 0 ⇒ t ≥ a

Answer 2

Answer: The range of unit step function u(t-a)​ is {0,1}

Step-by-step explanation:

The unit step function only takes two values 0 and 1. Hence, its range is {0,1}

For t > a : u(t-a) = 1

For t < a : u(t-a) = 0

This function is called unit step function because it jumps one step ,i.e., goes from 0 to 1 once input goes from negative to positive.

The function is discontinuous at t = a.

Unit step function can be used to create rectangular pulse functions.

Unit step function is also known as Heaviside function.

It is commonly used as an on-off signal.

#SPJ3