2025 AISS PRELIMS P2 Q9

2025 AISS PRELIMS P2 Q9

Secondary 4
9 marks
  1. Complete the table of values for (y=3x^2-x^3-1).[1]
    \((x)\)\(-1\)\(0\)\(1\)\(1.5\)\(2\)\(2.5\)\(3\)
    \((y)\)\(3\)\(1\)\(2.4\)\(3\)\(2.1\)
  2. On the grid, draw the graph of (y=3x^2-x^3-1) for (-1leq xleq3).[3]
  3. By drawing a tangent, find the gradient of the graph when (x=1).[2]
  4. Using your graph, solve (3-x=dfrac1{x^2}-dfrac1x).[3]

Solution:

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Answer:(a) \(-1,-1\) (b) graph (c) \(3\) (d) \(x\approx-0.68,0.46\)

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