Definition of Step Function
Examples of Step Function
Solved Example on Step Function
Which of the following is a step function?
(i) f(x) = b
(ii) f(x) = |x|
(iii) f(x) = [[x]]
A. only (i)
B. only (ii)
C. only (iii)
D. all the three
Correct Answer: C
Step 1: Among the functions listed, only f(x) = [[x]] is the step function. [[ ]] indicates that its a Greatest Integer Function that rounds any number down to the nearest integer.
Step 2: So, f(x) = [[x]] is a step function.
Related Terms for Step Function