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A function is still a linear equation. So whats the difference between plotting data predictions int he form of a line equation and plotting anything as a function?

Also when we find the domain and range of a function. Don't we do things like that when we set up T-tables,assign a random value to x and use it to solve for y? I know the domain and range account for all the the numbers that will work, but isn't the x we get from a t-table int he domain of a function(providing it gives an answer once substituted in an equation).