10
QuizMultiple Choice

Step Functions — Quiz

Question 10 • Algebra I

A step function h of x is represented by y is equal to negative 2 lfloor x rfloor Which phrase best describes the range of the function h of x ?

Answer
A
all negative integers
B
all real numbers
C
all rational numbers
D
all even integers

Explanation

The floor function ⌊x⌋ is always an integer. Multiplying it by −2 produces an even integer, and every integer value of ⌊x⌋ can occur for some x. Thus the range is all even integers, including zero and negative even integers.

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