2025 IGCSE 0580 May/June P41 Q14

2025 IGCSE 0580 May/June P41 Q14

11 marks

The table shows some values for \(y=5x^2-x^3-4\).

\(x\)\(-2\)\(-1\)\(0\)\(1\)\(2\)\(3\)\(4\)\(5\)
\(y\)\(24\)\(-4\)\(8\)\(14\)\(-4\)
  1. Complete the table.[3]
  2. On the grid, draw the graph of \(y=5x^2-x^3-4\) for \(-2\le x\le5\).[4]
  3. By drawing a suitable straight line on the grid, solve the equation \(x^3-5x^2-x+14=0\).[4]

Solution:

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Answer:(a) \(2,0,12\). (b) Smooth cubic through the completed table points. (c) Draw \(y=10-x\); \(x\approx-1.5,2,4.5\).

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