Which equation matches the graph of the greatest integer function given
below?
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Answer:
D. y = [x] - 2
Explanation:
The Greatest Integer Function is denoted by y = [x].
For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.
In the plot of y = [x], the plot starts from origin because y = [0] = 0.
But, in the question, all the lines are shifted 2 units downward, as it starts from (0, -2).
i.e for every values of x, y moves two units down
So our answer is y = [x] - 2.
(Information reworded from "InesWalston" who is another user on Brainly when they responded to the same question!)
Hope this helps, good luck! :D
[ SIDE NOTE: Someone else said that it is y=[x]-4, so I am not 100% sure! ]