Duration: 2:18

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Passage
In some question of sets, we have to make the use of graphs.
\( \mathrm{P} \)
For example
\[
\begin{array}{l}
A=\left\{(x, y): y=e^{x}, x \in R\right\} \\
B=\{(x, y): y=-x, x \in R\}
\end{array}
\]

It is clear that \( y=e^{x} \) and \( y=-x \) intersect at one point.
Hence \( n(A \cap B)=1 \)
\[
\begin{array}{l}
A=\left\{(x, y): x^{2}+y^{2} \leq 2, x, y \in R\right\} \\
B=\left\{(x, y): y \geq x^{2}, x, y \in R\right\}
\end{array}
\]

The domain of \( A \cap B \) is
(1) \( [-1,1] \)
(2) \( [-2,2] \)
(3) \( [0,1] \)
(4) \( [0,2] \)


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