9
QuizMultiple Choice

Mathematical Modeling — Test

Question 9 • Algebra 2 with Probability

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

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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