Given: The graph represents y = ⌈x⌉ + 1
Concept: If [x] is the greatest integer function. It tells the resultant value of any greatest integer that will always be a smaller nearest integer value.
For example: [4.1] = 4, [1.5] = 1, [- 4.1] = -5, [-1.5] = 2- and so on.
To Find: the value of f(–2.75).
Here, x = - 2.75
So, the value of y = f(x) = ⌈x⌉ + 1 = [ -2.75] + 1 = -3 + 1 = - 2
Hence, the value of f(–2.75) = - 2.
Therefore the correct option will be C. –2
