Maths Paper 1, November 2024, question 9.3

Maths P1 · Calculus cubic graphs and tangents

9.32 marks

The diagram below shows the graph of a cubic function

g

with turning points P

(1; 8)

and Q

(2; 7)

. The graph cuts the

y

-axis at R

(0; 3)

. Determine the values of

x

for which

g

is concave up.

NSCBased on Nov 2024 · Paper 1 · Q9.3

Not yet checked by a teacher. Spot a problem? Report it.

What examiners found

Where the cubic’s equation is not given, many candidates did not find the point of inflection. Its $x$ -value lies halfway between the turning points.

In our words. Source: Department of Basic Education, NSC 2024 Diagnostic Report, Part 1 (Book 1), Q9.

Updated 12 November 2026