which graph represents the polynomial function f x x 3 4x 2 4x 16

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Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor This calculator graphs polynomial functions All polynomial characteristics including polynomial roots x intercepts sign local maxima and minima growing and decreasing intervals points of inflection and concave up and down

which graph represents the polynomial function f x x 3 4x 2 4x 16

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which graph represents the polynomial function f x x 3 4x 2 4x 16
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In an equation such as the quadratic equation cubic equation etc a polynomial function is a function that only uses non negative integer powers or only positive integer Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor

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Graphs behave differently at various x intercepts Sometimes the graph will cross over the horizontal axis at an intercept Other times the graph will touch the horizontal axis and bounce off Suppose for example we graph the Graphing Polynomial Functions We can use what we have learned about multiplicities end behavior and turning points to sketch graphs of polynomial functions Let us put this all together and look at the steps required to graph

Figure PageIndex 9 Graph of f x x 4 x 3 4x 2 4x a 4th degree polynomial function with 3 turning points The maximum number of turning points of a polynomial function is always one less than the degree of the function Graph the polynomial function f x x 3 3x 2 4x 12 using its intercepts and end behavior

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