In GCSE Mathematics, a turning point is a point on the curve of a graph where the curve changes direction. Technically, it is the point where the curve changes from having positive gradient to negative gradient, or vice versa.
Turning points can either be a (local) maximum point or a (local) minimum point.
A maximum point would be like a peak on the graph (e.g. top of a hill) and would indicate the maximum value that the graph (function) would take (at least within the nearby region of the graph).
A minimum point would be like the trough of a valley and would indicate the minimum value that the graph (function) would take (at least within the nearby region of the graph).
Some graphs may have a mixture of maximum and minimum turning points.
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