Easy -1.8 This question requires only direct recall of the definition of concavity (f''(x) < 0 means concave, corresponding to a curve that bends downward). It's a single-step visual identification task with no calculation or problem-solving required, making it significantly easier than average A-level questions.
3 The function f is concave and is represented by one of the graphs below. Identify the graph which represents f .
Tick ( \(\checkmark\) ) one box.
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_709_561_632_191}
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_117_111_927_826}
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_716_570_630_1082}
□
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_711_563_1503_191}
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_711_565_1503_1085}
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_117_113_1800_1717}
Graph showing a curve passing through the origin from bottom-left to top-right, with the curve in both quadrants 2 and 4 (an odd function shape consistent with \(\arctan\) or similar), crossing the x-axis at the origin
B1
Ticks correct box; curve should show a shape that is increasing, passing through origin, with horizontal asymptotic behaviour in both directions
**Question 3:**
| Answer | Marks | Guidance |
|--------|-------|----------|
| Graph showing a curve passing through the origin from bottom-left to top-right, with the curve in both quadrants 2 and 4 (an odd function shape consistent with $\arctan$ or similar), crossing the x-axis at the origin | B1 | Ticks correct box; curve should show a shape that is increasing, passing through origin, with horizontal asymptotic behaviour in both directions |
3 The function f is concave and is represented by one of the graphs below. Identify the graph which represents f .
Tick ( $\checkmark$ ) one box.\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_709_561_632_191}\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_117_111_927_826}\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_716_570_630_1082}
□\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_711_563_1503_191}\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_711_565_1503_1085}\\
\includegraphics[max width=\textwidth, alt={}, center]{ad6590e8-6673-45ca-bef3-a14716978827-03_117_113_1800_1717}
\hfill \mbox{\textit{AQA Paper 2 2022 Q3 [1]}}