Exam 2: Functions and Graphs

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Translate the given formula to English. -Translate the given formula to English. -  , where f is the centripetal force of an object of mass m moving along a circle of radius r at velocity v , where f is the centripetal force of an object of mass m moving along a circle of radius r at velocity v

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Use transformations to graph the function and state the domain and range. -Use transformations to graph the function and state the domain and range. -

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List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = - List the symmetries of the given function, if there are any. Otherwise, state No symmetry. -f(x) = -   + 7x + 7x

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Determine whether the function is invertible by inspecting its graph on a graphing calculator. -f(x) = Determine whether the function is invertible by inspecting its graph on a graphing calculator. -f(x) =

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Find the domain and range. -{(9, -2), (-2, 2), (2, 3), (-3, 7)}

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Match the function with the graph. -Match the function with the graph. -

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Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 0.1, when x = 0.2

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Determine whether the first variable varies directly or inversely with the other variable. -The height of a building in inches, the height of the same building in feet

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Determine whether or not the function is one-to-one. -f(x) = Determine whether or not the function is one-to-one. -f(x) =   + 2 + 2

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Write a formula to express the relationship. Use k as the constant of variation. -The cost c of a turkey varies directly as its weight w.

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Solve. -Find Solve. -Find   for the function f = {(-5, -7), (5, 6), (-3, 4)}. for the function f = {(-5, -7), (5, 6), (-3, 4)}.

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Determine whether the equation defines y as a function of x. -y = -x

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Write the equation of the graph after the indicated transformation(s). -The graph of Write the equation of the graph after the indicated transformation(s). -The graph of   is shifted 3.0 units to the right and then vertically shrunk by a factor of 0.3. is shifted 3.0 units to the right and then vertically shrunk by a factor of 0.3.

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Find the inverse of the function. -f(x) = Find the inverse of the function. -f(x) =

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Provide an appropriate response. -Which function represents a vertical translation of the parabola Provide an appropriate response. -Which function represents a vertical translation of the parabola

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Use the horizontal line test to determine whether the function is one-to-one. -Use the horizontal line test to determine whether the function is one-to-one. -

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Write a formula to express the relationship. Use k as the constant of variation. -The area of a triangle varies jointly as the base and the height.

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Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =    Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =

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Graph the function. -Graph the function. -

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Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 4x Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 4x

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