If f is a one-to-one function and the graph of f lies completely within the first quadrant, then the
graph of f-1 lies completely within the first quadrant.

Question

Quizplus · Accepted Answer

Since f is a one-to-one function and its graph lies entirely in the first quadrant, it means that both its domain and range consist of only positive real numbers. The inverse function $f^{-1}$ essentially swaps the domain and range of f, but since both are positive in this case, the graph of $f^{-1}$ will also lie entirely in the first quadrant.

If F Is a One-To-One Function and the Graph of F