Exam 12: Quadratic Equations and Functions

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Graph. -Graph. -

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Solve the equation by completing the square. -Solve the equation by completing the square. -  + 4m = 0 + 4m = 0

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Solve. -Solve. -

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Solve. Give exact solutions. -Solve. Give exact solutions. -  + 8x + 16 = 24 + 8x + 16 = 24

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Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced bx + c, a > 0; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced + bx + c, a < 0; polynomial, not quadratic or linear. -Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced Marginal revenue In $/connector Number of connectors produced

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Solve. -Solve. -  + 3x + 2 = 0 + 3x + 2 = 0

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Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -Growth of   revenue in Millions Year bx + c, a > 0; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -Growth of   revenue in Millions Year + bx + c, a < 0; polynomial, not quadratic or linear. -Growth of Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -Growth of   revenue in Millions Year revenue in Millions Year

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Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) = Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) =   18x + 73 18x + 73

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Without graphing, find the maximum value or minimum value. -f(x) = Without graphing, find the maximum value or minimum value. -f(x) =   - 2 - 2

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Solve. Provide answers in interval notation. -4 - Solve. Provide answers in interval notation. -4 -

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Solve. -4x2 - 3x = -4

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Write a quadratic equation having the given numbers as solutions. --5, 1

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Find the vertex. -f(x) = Find the vertex. -f(x) =   + 12x + 23 + 12x + 23

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Solve. Provide answers in interval notation. -Solve. Provide answers in interval notation. -

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Solve. Give exact solutions. -Solve. Give exact solutions. -

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Solve. -A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse is 60 m longer than the length of the longer leg. How long is the longer leg?

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Solve. Round results to the nearest thousandth. -Solve. Round results to the nearest thousandth. -  = 10 + 14x = 10 + 14x

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Graph. -f(x) = Graph. -f(x) =   + 2x - 8  + 2x - 8 Graph. -f(x) =   + 2x - 8

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Determine the nature of the solutions of the equation. -Determine the nature of the solutions of the equation. -  + 4x + 1 = 0 + 4x + 1 = 0

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Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced bx + c, a > 0; quadratic: f(x) = Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced + bx + c, a < 0; polynomial, not quadratic or linear. -Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear. -  Marginal revenue In $/connector Number of connectors produced Marginal revenue In $/connector Number of connectors produced

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