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Step Functions

Question 8 • [INMT2] Integrated Math 2 Sem 1 (26-27)

At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.–8–5.2–1.702.4

Answer
A
–8
B
–5.2
C
–1.7
D
0
E
2.4

Explanation

The floor and ceiling of a number are equal exactly when the number is an integer. For an integer such as −8 or 0, both functions return that same number. The other listed values, −5.2, −1.7, and 2.4, are not integers, so their floor and ceiling differ.

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