Determine whether the statement is true or false.
-If f is a one-to-one function and the graph of f lies completely within the third and fourth
quadrants, then the graph of f-1 lies completely within the second and third quadrants.

Question

Quizplus · Accepted Answer

For a one-to-one function $f$, the graph of its inverse $f^{-1}$ reflects across the line $y = x$. If $f$ lies in the third and fourth quadrants, reflecting across $y = x$ would place $f^{-1}$ in the second and third quadrants, maintaining the one-to-one correspondence and the inverse relationship.

Determine Whether the Statement Is True or False