What is the domain and range of the step function with the equation below?

f (x) = -3[x]

A) The domain is all real numbers, and the range is all real numbers.

B) The domain is all real numbers, and the range is all integers that are multiples of 3.

C) The domain is all integers, and the range is all real numbers.

The answer is The domain is all real numbers, and the range is all integers that are multiples of 3. Or C on edgnuity not in this question asked.

Answer: Option B is correct

Explanation:

Domain are the values which x will take in a given function.

In case of given function x can take all real numbers will ultimately convert it to the integer being greatest integer function.

example [1.01] = 1

range is the set of values of y. Here values of y will be multiples of 3 and all will be integers. Since, all real numbers will convert to integer by [x]. we have f (x) that y = - 3[x]

y comes out to be an integer and multiple of 3.

Hence, Option B.