Exercise 4: (a) Let f: X → R, with X C R, be an injective function. Show that the graph of f is given by the graph of f, reflected over the line y = x. (b) Use this principal to graph the inverse of f...

Extracted text: Exercise 4: (a) Let f: X → R, with X C R, be an injective function. Show that the graph of f is given by the graph of f, reflected over the line y = x. (b) Use this principal to graph the inverse of f : (-1/2,7/2) –→ R, with f(x) = tan(x). Remark: This is a very common method for graphing inverse functions, especially since they fre- quently do not have a nice form.