Respuesta :

The function y = ⌊x⌋ is called the "greatest integer value" function.

it works as follows: the input is any number x, the output is the greatest 

integer smaller or equal to x.

For example:

⌊0.1⌋=0

⌊0.26⌋=0

⌊0.4678⌋=0

⌊0.8989⌋=0

⌊0.999⌋=0

⌊1⌋=0

⌊1.0001⌋=1


so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.

Similarly, 

the value of ⌊x⌋, for the entire interval (1, 2] is 1.   and so on, 

thus the graph of  y = ⌊x⌋ is as shown in picture 1



the graph of   y = ⌊x⌋ – 2   is the graph of   y = ⌊x⌋   shifted 2 units down.

check picture 2.
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MrRoyal

Graphs are used to represent equations and functions

The equation of the graph is given as:

y = ⌊x⌋ – 2

The above function is a step function.

So, we make use of a graphing calculator or tool to plot the graph of y = ⌊x⌋ – 2

See attachment for the graph that represents the function y = ⌊x⌋ – 2

Read more about step functions at:

https://brainly.com/question/13136492

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