6
AssignmentMultiple Select

Step Functions

Question 6 • [INMT2] Integrated Math 2 Sem 1 (26-27)

Which points lie on the graph of the function f(x) = ⌈x⌉ + 2? Check all that apply.

Answer
A
(–5.5, –4)
B
(–3.8, –2)
C
(–1.1, 1)
D
(–0.9, 2)
E
(2.2, 5)
F
(4.7, 6)

Explanation

The ceiling function ⌈x⌉ gives the least integer greater than or equal to x. For x = −1.1, −0.9, and 2.2, the ceiling values are −1, 0, and 3; adding 2 gives 1, 2, and 5. Therefore, (−1.1, 1), (−0.9, 2), and (2.2, 5) lie on the graph. The other points do not match the function values.

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