Exam 12: Quadratic Equations and Functions

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Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. -Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. -

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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) =   + 4 + 4

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Without graphing, find the vertex. -f(x) = - 5 Without graphing, find the vertex. -f(x) = - 5   + 3 + 3

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Graph. -Graph. -

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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. -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 Growth of revenue in Millions Year

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Find the x-intercepts. -f(x) = Find the x-intercepts. -f(x) =   - 5x - 1 - 5x - 1

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Solve. -Solve. -  = 5x - 6 = 5x - 6

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Determine the nature of the solutions of the equation. -1 + Determine the nature of the solutions of the equation. -1 +   = -2z = -2z

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Solve the equation by completing the square. -Solve the equation by completing the square. -  + x + 6 = 0 + x + 6 = 0

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Solve. -A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?

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