The diagram below shows a sketch of the gradient function $f'(x)$ of the curve $f(x)$ .

On the graph below, sketch the curve $y = f(x)$ given that $f(0) = 0$ . Clearly indicate on the graph any maximum, minimum or inflexion points.

    A5

Note: Award A1 for origin

A1 for shape

A1 for maximum

A1 for each point of inflexion.

[5 marks]

A reasonable number of candidates answered this correctly, although some omitted the ${2^{{\text{nd}}}}$ point of inflection.