Which graph represents the function on the interval [-3,3]? f(x)=[x]-3

Shown below

This function represents greatest integer function, which is the most famous of the step functions, which is denoted by . So, this function is defined as:

. The graph of the greatest integer function has the following characteristics:

a) The domain of the function is the set of all real numbers.

b) The range of the function is the set of all integers.

c) The graph has a at and in the interval

d) The graph is constant between each pair of consecutive integers.

e) The graph jumps vertically one unit at each integer value.

tells us that the original function has been shifted 3 units downward. So the correct option has been marked in the square red below.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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