Exam 3: Polynomial and Rational Functions

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Solve the quadratic inequality by graphing an appropriate quadratic function. -Solve the quadratic inequality by graphing an appropriate quadratic function. -

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Find all of the real and imaginary zeros for the polynomial function. -f(x) = Find all of the real and imaginary zeros for the polynomial function. -f(x) =   + 25x + 125 + 25x + 125

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Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) =   + 12x + 9 + 12x + 9

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Sketch the graph of the function. -Sketch the graph of the function. -

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Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) =   + 4x - 24 + 4x - 24

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Provide an appropriate response. -Fill in the blank to complete the statement. For the polynomial function Provide an appropriate response. -Fill in the blank to complete the statement. For the polynomial function

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State the solution set to the inequality by reading the graph. -State the solution set to the inequality by reading the graph. -   State the solution set to the inequality by reading the graph. -

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Use the leading coefficient test to determine whether Use the leading coefficient test to determine whether   . -y =  . -y = Use the leading coefficient test to determine whether   . -y =

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Use a graph or a table to find the limit. -Use a graph or a table to find the limit. -

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Discuss the symmetry of the graph of the polynomial function. -Discuss the symmetry of the graph of the polynomial function. -

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Use the leading coefficient test to determine whether Use the leading coefficient test to determine whether   . -y =  . -y = Use the leading coefficient test to determine whether   . -y =

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Identify the vertex of the parabola. -y = Identify the vertex of the parabola. -y =   - 40x - 103 - 40x - 103

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Sketch the graph of the polynomial function. -f(x) = (3x + 2)(x - 1)(x - 2) Sketch the graph of the polynomial function. -f(x) = (3x + 2)(x - 1)(x - 2)

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Graph. -Graph. -

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Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. -Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. -

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Find a polynomial equation with real coefficients that has the given roots. -6, 2

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