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 quadrant, then the graph of $\mathrm { f } ^ { - 1 }$ lies completely within the first quadrant.

Question

Quizplus · Accepted Answer

If $f$ is one-to-one and its graph lies entirely in the first quadrant, it means $f$ maps positive real numbers to positive real numbers. Since $f^{-1}$ essentially reverses the roles of inputs and outputs, it will also map positive real numbers to positive real numbers, ensuring its graph lies entirely in the first quadrant as well.

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

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