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Mathematics · Oct / Nov 2024 · Paper 21 · Question 22

0580

As printed in the paper

The question as text

The graph of ( )( ) y x x 2 1 2 ¡ È Á is shown on the grid. Á1 1 2 3 4 Á1 1 2 0 Á2 y x

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  • 22(a)[2]

    x2 – x – x + 1 or x2 + 2x– x – 2 A correct unsimplified expansion e.g. x3 + 2x2 –x2 –2x – x2 –2x + x + 2 oe leading to [y = ] x3 – 3x + 2 [2]

    M1 A1

  • 22(b)[4]

    y = 2 – 0.5x ruled –1.5 to –1.6 0 1.5 to 1.6 [6]

    B2 B1 for [y =] 2 – 0.5x soi or for y = 2 – kx drawn or for y = k – 0.5x drawn

    B2 B1 for two correct values

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