Methods2026 NHT Exam 2 Section A · Q18CAS active1 mark

Graph of f from the graph of its derivative

The graph of $y = f'(x)$ is shown below.

Graph of y = f'(x) for x from about -3.3 to 3.9. The curve is positive, rising slowly from near zero on the left to a local maximum of about 0.55 at x = 1, then decreasing to touch the x-axis at x = 3 and rising steeply afterwards.

Option A: a curve rising from about -0.8 at x = -3.3, passing through the origin, flattening along the x-axis between about x = 0.5 and x = 1.5, then rising steeply past y = 1 near x = 2.5.

The graph of $y = f(x)$ could be

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AGraph A (see diagram)BGraph B (see diagram)CGraph C (see diagram)DGraph D (see diagram)

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