OpenStax, Algebra and Trigonometry 2e §5.3 Graphs of Polynomial Functions · Example 7 · Algebra · Polynomials

Finding the Maximum Number of Turning Points Using the Degree of a Polynomial Function

Find the maximum number of turning points of each polynomial function.

ⓐ $f (x) = - x^{3} + 4 x^{5} - 3 x^{2} + 1$
ⓑ $f (x) = - (x - 1)^{2} (1 + 2 x^{2})$

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OpenStax, Algebra and Trigonometry 2e · §5.3 Graphs of Polynomial Functions · Example 7

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