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OpenStax, Algebra and Trigonometry 2e §5.2 Power Functions and Polynomial Functions · Example 12 · Algebra · Polynomials

Determining the Number of Intercepts and Turning Points of a Polynomial

Without graphing the function, determine the local behavior of the function by finding the maximum number of x-intercepts and turning points for $f (x) = - 3 x^{10} + 4 x^{7} - x^{4} + 2 x^{3} .$

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OpenStax, Algebra and Trigonometry 2e · §5.2 Power Functions and Polynomial Functions · Example 12

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