# Maths Paper 1, November 2024, question 9.4

> The diagram below shows the graph of a cubic function g with turning points P(1;8)... Marked mark by mark. Q9.4, Maths Paper 1 November 2024, 2 marks.

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Last updated: 2026-11-12

Subject: Maths. Source: Based on Nov 2024 · Paper 1 · Q9.4. Marks: 2. Not yet checked by a teacher.

## Question 9.4 (2 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 all the values of $k$ for which $y = g(x) + k$ has exactly THREE positive $x$-intercepts.

Figure: Graph of a cubic function g. It rises from the bottom left, cuts the y-axis at R(0; 3), reaches a local maximum at P(1; 8), falls to a local minimum at Q(2; 7), and then rises again to the right.

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