How does the graph of g(x) =[x] +0.5 differ from the graph of f(x) =[x]

When you add a constant value to a function the graph of the function is shifted vertically the number of units indicated by the constant.

In this case, the function g(x) is formed by adding 0.5 to the function f(x) so the graph of g(x) is equal to the graph of f(x) shifted 0.5 units upward.

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