Final answer:
The student's task to graph the inverse of a function where f(x) = 10 for the domain 0≤x≤20 is not possible because the function is not one-to-one; therefore, it does not have an inverse. To graph the inverse of a one-to-one function, one would swap the x and y values and ensure the function is properly restricted.
Step-by-step explanation:
The student's question deals with graphing the inverse of an absolute value function after restricting its domain. To graph the inverse, one must first understand the original function and its restrictions. Given the information that the graph of f(x) = 10, for 0≤x≤20, represents a horizontal line with a domain restriction, we can say that no inverse function exists. This is because for each x-value in the domain, the y-value is constantly 10, and thus the function is not one-to-one and cannot have an inverse function.
If the question is about graphing the inverse of a generic absolute value function, the inverse can be found by swapping x and y values in the function and restricting the domain to ensure the function is one-to-one. To verify if two functions are inverses of each other, each function should reflect over the line y = x, which can be drawn as a dashed line on the graph.