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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2011 · Q247 Marks

The variables x and y are connected by the equation y = x³ – 6x.

  1. (a)Complete the table of values. [Table: x values -2, -1, 0, 1, 2, 3; y values 5, __, 0, -4, __, 9][2]
  2. (b)On the axes below, draw the graph of y = x³ - 6x for -2 ≤ x ≤ 3. [Figure: Coordinate grid][2]
  3. (c)Use your graph to find
  4. (c)(i)two solutions of the equation x³ - 6x = 0,[2]
  5. (c)(ii)the least value of y when x is positive.[1]

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2011 Paper 1 Variant 1, question 24.

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