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If the coefficient of x^3 is negative then the shape is a bit like the letter "S" pushed over from the left and then both free ends stretched out for ever.

Such a graph starts at the top left and goes down towards the bottom right with the gradient (slope) becoming steadily less steep. It can then move upwards for a short while before it continue its downward motion - only this time the gradient becomes steeper as you go along. Note that the upward bump may not be there (if there is a point of inflexion).

If the coefficient of x^3 is positive then the graph is a mirror image.

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9y ago

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