Which step is included in the graph of the function f of x is equal to lceil x minus 1 rceil ?

The ceiling function rounds its input up to the nearest integer. For f(x) = ⌈x − 1⌉ to equal −2, the quantity x − 1 must be greater than −3 and at most −2. Adding 1 gives −2 < x ≤ −1, which matches choice C: y = −2 for −2 < x ≤ −1.

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