Question

The graph represents y = ⌈x⌉ + 1.

Answer 1

F(x) = f(-2.75)

When x = -2.75, y = D. -1 according to the graph

Answer 2

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