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How to get the maximum number of turning points on the graph given an equation?
How to get the maximum number of turning points on the graph given an equation?
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Koala Tutor
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The maximum number of turning points on a graph of a polynomial function can be determined by the degree of the polynomial. If the degree of the polynomial is n, then the maximum number of turning points is n - 1.
For example, if you have a polynomial of degree 3 (like x^3 + 2x^2 - 3x + 1), the maximum number of turning points is 3 - 1 = 2.
This rule applies only to polynomial functions. For other types of functions, determining the number of turning points may require calculus or other methods.
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