Question

unit test
unit test complete
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the graph of the step function g(x) = -⌊x⌋ + 3 is shown. what is the domain of g(x)?
graph of the step function with y-axis from -5 to 5 and x-axis from -5 to 5
options:
○ {x| x is a real number}
○ {x| x is an integer}
○ {x| -2 ≤ x < 5}
○ {x| -1 ≤ x ≤ 5}
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Explanation:

Step1: Identify leftmost x-value

The leftmost closed dot is at x = -2, so x starts at -2.

Step2: Identify rightmost x-value

The rightmost open dot is at x = 5, so x is less than 5.

Step3: Combine to get domain

Domain is all real numbers from -2 (inclusive) to 5 (exclusive).

Answer:

C. {x| -2 ≤ x < 5}