7
QuizMultiple Choice

Step Functions

Question 7 • WV-Algebra I CR

A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

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

Explanation

The floor function ⌊x⌋ is always an integer. As x varies over the real numbers, ⌊x⌋ can be any integer, and multiplying any integer by −2 produces an even integer. This includes zero and both positive and negative even integers, so the range is all even integers.

AI-written and checked against the verified answer.

Previous
Next