Question 120
On a coordinate plane there are two regions, $M$ and $N$:
$M$ is confined by
$$
\begin{cases}
y \ge 0, \\
y \le x, \\
y \le 2-x
\end{cases}
$$
and $N$ is determined by the inequalities $t \le x \le t+1$, $0 \le t \le 1$. Then the size of the common area of $M$ and $N$ is given by $f(t) = \underline{\hspace{2cm}}$.
$M$ is confined by
$$
\begin{cases}
y \ge 0, \\
y \le x, \\
y \le 2-x
\end{cases}
$$
and $N$ is determined by the inequalities $t \le x \le t+1$, $0 \le t \le 1$. Then the size of the common area of $M$ and $N$ is given by $f(t) = \underline{\hspace{2cm}}$.