19
QuizMultiple Choice

Mathematical Modeling — Test

Question 19 • Algebra II

What are the domain and range of the step function with the equation? f of x is equal to negative 3 lceil x rceil

Answer
A
The domain is all real numbers, and the range is all real numbers.
B
The domain is all integers, and the range is all real numbers.
C
The domain is all real numbers, and the range is all integers that are multiples of 3 .
D
The domain is all integers, and the range is all integers that are multiples of 3 .

Explanation

The ceiling function is defined for every real number, so the domain is all real numbers. For any real x, ⌈x⌉ is an integer, and multiplying it by −3 gives an integer multiple of 3. Thus the range is all integer multiples of 3, as stated in choice A.

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