The diagram below shows the curve $y=\mathrm{f'}\left( x \right).$ State the $x$-coordinates of the

Question

The diagram below shows the curve $y=\mathrm{f'}\left( x \right).$ State the $x$-coordinates of the stationary points for the curve $y=\mathrm{f}\left( x \right).$ Hence determine the nature of these stationary points. State the maximal range of values of $x$ such that the curve $y=\mathrm{f}\left( x \right)$ is, concave downwards, increasing.

Accepted Answer

(a) $x = -3$: stationary point of inflexion; $x = 0$: minimum point; (b)(i) $x < -3$; (b)(ii) $x \leq -2$ or $x \geq 0$

Worked Example 9

Worked Example 9

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