In statistics:
The range is a number that is a measure of how spread of a set of data is.
It is calculated by subtracting the lowest value from the highest value.
Range = Highest value - lowest value
eg 1, 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9 Range = 9 - 1 = 8
The difference between the highest and lowest value is 8.
In the Cartesian Plane:
The domain is a set of all values that can be 'put into' a function. These are the x values we can substitute into the function.
The range is a set of all values that the function produces. These are the y values that a graph or function can be.
Example
The domain of the parabola above is all possible x values (we can substitute any x value into the function).
The range is only values from 0 and above (x is greater than or equal to 0).
The y values can only be 0 or greater - this is because a negative number squared produces a positive number.
You can see on the graph that the parabola does not come down below the y-axis.