Determine Whether the Statement Is True or False $\mathrm { f }$

True/False

Determine whether the statement is true or false.
-If $\mathrm { f }$ is a one-to-one function and the graph of $\mathrm { f }$ lies completely within the first and fourth quadrants, then the graph of $\mathrm { f } ^ { - 1 }$ lies completely within the first and second quadrants.