Question

What is the domain of the step function f(x) = [2x1]– 1?

A. All real numbers
B. Positive integers
C. Negative integers
D. Non-negative integers

Answer 1

The domain of the step function f(x) = [2x1]– 1 is Non-negative integers.

Step-by-step explanation:

The domain of the step function f(x) = [2x1]– 1 is D. Non-negative integers.

A step function is a function that increases or decreases in distinct steps. In this case, the function [2x1]– 1 can only take non-negative integers as input. To find the domain, we need to determine the set of all possible values of x that the function can be defined for.

Since the function involves the operation [2x1]– 1, x can only be a non-negative integer for the output to be defined. Therefore, the domain of the function is the set of non-negative integers.