A turning point is a point on the graph of a polynomial function where the graph changes direction from increasing to decreasing or vice versa. It occurs at local maxima or minima.
5 Must Know Facts For Your Next Test
The number of turning points of a polynomial function is at most one less than its degree.
A polynomial of degree n can have up to n-1 turning points.
Turning points occur at critical points where the derivative equals zero or is undefined.
The nature of a turning point (local maximum or minimum) can be determined using the second derivative test.
Graphically, turning points are where the curve changes concavity.
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Related terms
Critical Point: A point on the graph where the first derivative is zero or undefined, which could indicate a local maximum, minimum, or saddle point.