Easy -1.8 This is a straightforward sketching question requiring students to plot two simple curves (a parabola and a line) plus a vertical line, then identify their intersection region. It involves only basic graph sketching and shading—no calculation, problem-solving, or algebraic manipulation required. This is significantly easier than average A-level content.
Show in a sketch the region of the \(x\)-\(y\) plane within which all three of the following inequalities hold.
\(y \geqslant x^2\), \(x + y \leqslant 2\), \(x \geqslant 0\).
You should indicate the region for which the inequalities hold by labelling the region \(R\). [3]
Show in a sketch the region of the $x$-$y$ plane within which all three of the following inequalities hold.
$y \geqslant x^2$, $x + y \leqslant 2$, $x \geqslant 0$.
You should indicate the region for which the inequalities hold by labelling the region $R$. [3]
\hfill \mbox{\textit{OCR H240/03 2021 Q1 [3]}}