Mathematics · Oct / Nov 2023 · Paper 42 · Question 9
0580
As printed in the paper
The question as text
y x A B O NOT TO SCALE The diagram shows a sketch of the graph of y x x 4 3 4 = - . The graph crosses the x-axis at the origin O and at the point A. The point B is a maximum point.
Read automatically from the paper; the printed page above is exact.
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9(a)[2]
2 − 3 12 x 4 x oe final answer [2]
B1 for 2 or –4x3 in final answer 12x or for correct answer seen
9(b)[3]
(3, 27) [3]
B2 for x = 3 OR 2 − 3 =
M1 for their 12 x 4 x 0 or better or states d y d = 0 x M1dep for substituting their x into = 3 − 4 y 4 x x shown
9(c)[3]
–64 [3]
M1 for 3 − 4 = 4 x x 0
B1 for x = 4
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