Final answer:
The purpose of an inverse functions and relations calculator is to determine the inverses of functions and relations, allowing us to revert a function's output back to the original input.
Step-by-step explanation:
The purpose of an inverse functions and relations calculator is primarily focused on determining inverses of functions and relations. In mathematical analysis, finding an inverse is a key concept because it allows us to 'undo' or revert a function or relation. This essentially means that if we have a function that takes an input (x) and produces an output (y), the inverse function would take y as an input and provide the original x as an output.
For example if we know the area of a square and want to find the side length we use the inverse of the function area = side length squared, which involves taking the square root. In the context of Figure 1.28 the graph labeled (c) represents an inverse relationship where the dependent and independent variables can be expressed as a function and its inverse.