Final answer:
To graph the function f(x) = 10 within the window [1,2] on the x-axis and [10,10] on the y-axis using a graphing utility, one needs to plot a horizontal line between x = 1 and x = 2 at y = 10. The axes must be labeled and scaled appropriately to reflect this segment.
Step-by-step explanation:
The student is asked to graph a simple function using a graphing utility. Before graphing, let's understand the function f(x) = 10 (constant) for 0≤x≤20. This means that for every x value within the domain, the y value will always be 10. This plots a horizontal line on the graph. However, since the window of the graphing utility is set between [1,2] on the x-axis and [10,10] on the y-axis, we only focus on the segment of the horizontal line that lies between x = 1 and x = 2, inclusive.
To graph this function, you would:
- Open your graphing utility and set the window with x values ranging from 1 to 2, and y values ranging from 10 to 10.
- Plot the function f(x) = 10. Given the window, this will appear as a line segment on the graph from point (1, 10) to (2, 10).
- Label the horizontal axis as 'x' and the vertical axis as 'f(x)'.
- Ensure that the x-axis and y-axis are scaled according to the maximum x and y values given in the window settings. In this case, the scale on the y-axis will be uniform, since it only displays the value 10.
Once plotted correctly, the graph will depict a horizontal line segment across the given window.