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Algebra 2

There is a graphs of the sequence f(n)=2n-3 and a graph of the function f(x)=2x-3
What difference exist between the two graphs?
What accounts for the differences between the graphs in terms of domain and range?

f(n) is a sequence of integers, and the domain is all integers.

f(x) is a function whose domain is all real numbers, not just integers.

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