Step Functions

Question 3 • [INMT2] Integrated Math 2 Sem 1 (26-27)

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

Answer

{x| x ≥ –1}

{x| x ≥ 1}

{x| x is an integer}

{x| x is a real number}

Explanation

The ceiling function ⌈2x⌉ is defined for every real value of x, including values that are not integers. Subtracting 1 does not restrict the inputs, so the domain is all real numbers, choice D.

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