Mathematics · May / June 2025 · Paper 21 · Question 11
0580
As printed in the paper
The question as text
The diagram shows the graph of ( ) f y x ¢ and the point ( , ) ĕ 2 11 Ä . 0 1 5 – 5 – 10 10 15 2 3 – 2 – 1 y ĕ x The tangent from ĕ touches the graph of ( ) f y x ¢ at the point (¹, ). The values of ¹ and are integers.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
11(a)[2]
For correct ruled tangent and [a =] 1, [b =] 2 [2]
B1 for correct ruled tangent or both values correct without a correct tangent
11(b)[3]
[y =] 5 – 3x [3]
3FT their (a) provided m < 0, c ≠ 0
B1 for (their –3)x + c
or M1 for correct rise for their line run
B1 for mx + c where c is the correct intercept for their graph, m ≠ 0
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