The graph of $ \frac{\mathrm{d}y}{\mathrm{d}x}$ of a function $y = \mathrm{f}(x)$ is shown in th

Question

The graph of $ \frac{\mathrm{d}y}{\mathrm{d}x}$ of a function $y = \mathrm{f}(x)$ is shown in the diagram, passing through the $x$-axis at $ (-2,0), (0,0)$ and $ (2,0)$. State the number of stationary point of the graph of $y = \mathrm{f}(x) $.[1] State the $x$-coordinate of the minimum point of $y = \mathrm{f}(x)$ and explain why it is the minimum point.[2]

Accepted Answer

(a) $3$ stationary points (b) $x=2$, since $\mathrm f'(x)$ changes from negative to positive.

2024 CGSS P1 Q7

2024 CGSS P1 Q7

Solution:

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