The graph represents y = ⌈x⌉ + 1. What is f(-2.75)?

Solution:

Given, y = ⌈x⌉ + 1

We have to find the value of f(-2.75)

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 and so on.

Here, x = -2.75

So, y = f(x) = [x] + 1

= [-2.75] + 1

= -3 + 1

= -2

Therefore, the value of f(-2.75) is -2.

The graph represents y = ⌈x⌉ + 1. What is f(-2.75)?

Summary:

The graph represents y = ⌈x⌉ + 1. The value of f(-2.75) is -2.