Mathematics · Oct / Nov 2024 · Paper 42 · Question 2
0580
As printed in the paper
The question as text
The table shows some values for y x x 4 4 3 2 Â Ã Ä . x Ä4.5 Ä4 Ä3 Ä2 Ä1 0 1 1.5 y Ä14.1 5 4 Ä4 1 8.4
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
2(a)[2]
–4, –1 [2]
B1 for each correct value
2(b)[4]
Correct graph [4]
B3FT for 7 or 8 correct points or B2FT for 5 or 6 correct points or B1FT for 3 or 4 correct points
2(c)(i)[1]
Ruled tangent at x = 1 [1]
2(c)(ii)[2]
6 to 14 nfww [2]
dep on correct tangent or a close attempt at the tangent at x = 1
M1 for rise/run for their tangent, or close attempt at tangent at any point. Must see correct or implied calculation from a drawn tangent.
2(d)[4]
y = x + 2 ruled x = –3.95 to –3.75 x = –1.4 to –1.25 x = 1.1 to 1.25 [6]
M2 M1 for [y =] x + 2 soi or y = x + k ruled or y = kx + 2 ruled, but not y = 2
A2 A1 for any two values If A0,
SC1 for three correct values
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