When you see the actual function (e.g. f(x) = ...) you can know what each input corresponds to, and can construct any table. If you are given just the table, you cannot always predict the function correctly, since the function the table seems to represent does not necessarily have to be that function. For example, it might seem that
x : f(x)
-2 -4
-1 -2
0 0
1 2
2 4
would correspond to f(x) = 2x, but this is not necessarily the case. There could be some arbitrary function that just happens to contain those five points.
It is generally referred to as "a table of values"
y = x This is a line and a function. Function values are y values.
the domains
Yes. A function is a rule to assign a value based on some other value; you can make the function equal to a constant for all values of a variable "x", or you can make it equal to a few values. Commonly used functions of this type include the integer function (take the integer part of a number), which, if you consider a finite domain (for example, all numbers from 0 to 10), has an infinite number of values in the domain, but only a few specific values in its range; and the sign function.
linear function
If the domain is infinite, it is not possible to list the function.
It is generally referred to as "a table of values"
A table of values is no use if the domain is infinite.
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
If your table has two columns--the left one listing various values for x, the "input," and the right one listing corresponding f(x) "output" values, let's say--make sure that there is only one output for every input: meaning there is only one number in each row of the right column.
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
The AVERAGE function.
It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.It is the usual way when you see values rather than formulas in cells.
y = x This is a line and a function. Function values are y values.
I'm afraid there is not.
The set of all values that a function will return as outputs is called the *range* of the function.
Limits (or limiting values) are values that a function may approach (but not actually reach) as the argument of the function approaches some given value. The function is usually not defined for that particular value of the argument.