Question13. A function $f(x)$ is one-to-one. If the graph of $f^{-1}(x)$ lies in the fourth quadrant. In which quadrant does the graph of $f(x)$ lie? A. First Quadrant B. Second Quadrant b) Given the graph of the function $h(x)$. graph $h^{-1}(x)$ C. Third Quadrant D. Fourth Quadrant

Studdy Solution
Determine the quadrant of $f(x)$ based on the quadrant of $f^{-1}(x)$.
- The fourth quadrant is defined by positive $x$-values and negative $y$-values. - If $f^{-1}(x)$ lies in the fourth quadrant, then it contains points of the form $(a, -b)$, where $a > 0$ and $b > 0$. - Reflecting these points across the line $y = x$, the points on $f(x)$ will be $(-b, a)$. - Therefore, $f(x)$ will lie in the second quadrant, where $x < 0$ and $y > 0$.
The graph of $f(x)$ lies in the:
$\boxed{\text{Second Quadrant}}$