Final answer:
To graph the function R(x), set the appropriate viewing window on the graphing calculator to include the entire domain and the maximum and minimum y-values. For a function with a specified domain of 0 ≤ x ≤ 20, like a constant function, set x-values from 0 to 20 and adjust y-values to include the constant value. Use similar methods for displaying statistical data, like box plots or scatter plots with best-fit lines.
Step-by-step explanation:
When graphing the function R(x) = -[x + 5] + 12 on your graphing calculator, the most appropriate viewing window for determining the domain and range is one that displays all the relevant values that x can take, along with the corresponding y values (R(x)). If we're considering the function f(x) for 0 ≤ x ≤ 20, similar logic applies; you'd want to set your window to at least encompass the x-values from 0 to 20 to observe the behavior of the function within this domain. Regarding the range, ensure that the y-values of your window include the maximum and minimum values of the function, which depends on the specifics of the function's behavior. An example is f(x)=rac{10}{20}, which is a horizontal line with a y-value of 0.5; therefore, the range is limited to the single value of 0.5 when the domain is 0 ≤ x ≤ 20.
If we needed to calculate the probability that x is between two values, we would shade the region under the graph between those x-values and calculate the area; typically, such a calculation would be straightforward when the graph represents a uniform distribution. Moreover, for scatter plots or data analysis, use your graphing calculator to display the necessary statistical plots like box plots or best-fit lines, adjusting your window accordingly to clearly view the data points and statistical summaries concerned.