The graph (B) represents the greatest integer function y = 2⌈x⌉ − 3 option (B) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The greatest integer function:
y = 2⌈x⌉ − 3
As we know,
An integer-valued function in mathematics is one whose values are integers. In other terms, it is a function that gives each object in its domain an integer.
By plugging the x-values in the function we can get respective y values and by plotting the values in the coordinate plane we can get a graph of the function.
y = 2⌈2⌉ − 3
y = 1
y = 2⌈3⌉ − 3
y = 3
Thus, graph (B) represents the greatest integer function y = 2⌈x⌉ − 3 option (B) is correct.
Learn more about the function here:
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