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#1**+2 **

This is known as a "ceiling" function shifted down 3 units

The ceiling function basically "rounds up" a value UNLESS that value is already an nteger

Look at the first graph at the top left

The point (1.5, 3) is on this graph

But Celiing (1.5) = 2

So

Ceiling (1.5) - 3 = 2 - 3 = -1

So this graph is not correct

Look at the graph at the top right

The point (2, 0) is on the graph

Ceiling 2 = 2

But

Ceiling 2 - 3 = -1

So....this graph is not correct

Look at the graph at the bottom left

This graph is not correct....the point (0, 2) is on the graph

Ceiling (0) = 0

But

Ceiling (0) - 3 = -3

So .....this graph is incorrect

Look at the graph at the bottom right

The point (2, - 1) is on the graph

Ceiling (2) = 2

So

Ceiling (2) - 3 = 2 - 3 = -1

Also....when x = 3.....y = 0 which is correct

So.....you were correct.....this is the correct graph.....!!!!!

CPhill Feb 12, 2019