Question 8
Let $ABCD$ be a square in the plane $P$. Find the minimum and the maximum values of the function $f: P \to \mathbb{R}$ defined by
$$
f(P) = \frac{PA + PB}{PC + PD}
$$
where $\mathbb{R}$ is the set of all real numbers.
$$
f(P) = \frac{PA + PB}{PC + PD}
$$
where $\mathbb{R}$ is the set of all real numbers.