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What is the domain of the step function f(x) = ⌈2x⌉ – 1?


A.{x| x ≥ –1}


B.{x| x ≥ 1}

C{x| x is an integer}

D{x| x is a real number}

Verified Answer :

reemii

The biggest possible set is \(\mathbb{R}\).

The question to ask yourself is: is the operation \(\lceil 2x \rceil -1\) not valid for some values of x ? ("not valid" = impossible to compute)
After removing all invalid values of x (if any), you have obtained the domain.

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