the graph represents y = x + 1. what is f(-2.75)? -5 -4 -2 -1

Explanation:

Step1: Recall the definition of the greatest - integer function

The greatest - integer function $\lfloor x\rfloor$ gives the greatest integer less than or equal to $x$. For $x=-2.75$, $\lfloor - 2.75\rfloor=-3$.

Step2: Calculate $y = \lfloor x\rfloor+1$

Substitute $x = - 2.75$ into the function $y=\lfloor x\rfloor + 1$. Since $\lfloor - 2.75\rfloor=-3$, then $y=-3 + 1=-2$.

Answer:

-2