Which points lie on the graph of the function f(x) = ⌈x⌉ + 2? Check all that apply.(–5.5, –4)(–3.8, –2)(–1.1, 1)(–0.9, 2)(2.2, 5)(4.7, 6)

For each point, take the ceiling of its x-coordinate (the least integer greater than or equal to x), then add 2. For x = −1.1, the result is −1 + 2 = 1; for x = −0.9, it is 0 + 2 = 2; and for x = 2.2, it is 3 + 2 = 5. These match choices C, D, and E. The other x-values produce y-values −3, −1, and 7, so their listed points are not on the graph.

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