(b) Draw the graph of \(y = x^3 - 3x\) for \(-3 \leqslant x \leqslant 3\).[3]
(c) Use your graph to solve \(x^3 - 3x = 10\). [1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
2
1
Mark scheme (b)
Answer
Marks
Part marks and guidance
Fully correct graph
3
B2FT for 7 correctly plotted points or B1FT for 5 or 6 correctly plotted points
Mark in 70% zoom, use overlay, mark curve first For 3 marks, curve must pass through or touch circles on overlay Condone ruled sections for \(-3 \leqslant x \leqslant -2\), \(-1 \leqslant x \leqslant 1\) and \(2 \leqslant x \leqslant 3\) . No vertical section on curve of more than 5 small squares must have min and max Condone slight feathering If curve incorrect, mark the plots use the overlay, plots must lie inside or touch circles. If large blob for plot, check centre of blob
