Final answer:
To graph the function f(x) = 10 where 0≤x≤20, one plots a horizontal line at y=10 for each x value within the domain, which is from 0 to 20. The domain is 0≤x≤20 and the range is {10}. It is important to scale the axes and label the graph properly.
Step-by-step explanation:
In the subject of mathematics, graphing functions is an essential skill for understanding the relationship between variables. When we refer to graphing the function f(x), we're typically plotting points where the dependent variable y is determined by the independent variable x. For example, a simple function like f(x) = 10 where 0≤x≤20 represents a horizontal line on a graph because for every value of x within that domain, the value of f(x) does not change and remains at 10.
The domain of this function is the set of all possible x values that the function can take, which is from 0 to 20, inclusive. The range is the set of all possible f(x) values, which, for this constant function, is simply {10} because f(x) never changes.
When graphing, it's important to scale the axes and label them appropriately. In the case of the function given, we would label the x-axis from 0 to 20 and the y-axis at least from 0 to 10 to include the constant value of the function. Each point on the graph would be represented by a pair of (x, f(x)) values, such as (1, 10), (2, 10), and so on until (20, 10), forming a straight line parallel to the x-axis.