O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2011 · Q247 Marks
The variables x and y are connected by the equation y = x³ – 6x.
- (a)Complete the table of values. [Table: x values -2, -1, 0, 1, 2, 3; y values 5, __, 0, -4, __, 9][2]
- (b)On the axes below, draw the graph of y = x³ - 6x for -2 ≤ x ≤ 3. [Figure: Coordinate grid][2]
- (c)Use your graph to find
- (c)(i)two solutions of the equation x³ - 6x = 0,[2]
- (c)(ii)the least value of y when x is positive.[1]
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