4
QuizMultiple Choice

Step Functions — Quiz

Question 4 • Algebra I

What is the domain of the step function f of x is equal to lceil 2 x rceil minus 1 ?

Answer
A
start set x such that x is greater than or equal to negative 1 end set
B
start set x such that x is a real number end set
C
start set x such that x is greater than or equal to 1 end set
D
start set x such that x is an integer end set

Explanation

The ceiling function ⌈2x⌉ is defined for every real value of 2x. Since multiplying any real x by 2 still gives a real number, ⌈2x⌉ − 1 is defined for every real x. Therefore, the domain is the set of all real numbers, choice B.

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