Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Find the domain of the function and identify any
vertical and horizontal asymptotes.

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2.
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Determine the value that the function f
approaches as the magnitude of x increases.

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3.
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Use the below graph to determine any
x-intercepts of the graph of the rational function. Set and solve the
resulting equation to confirm x-intercepts of the graph of the rational function.


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4.
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Use the graph of to select the
graph of .

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5.
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The graph of the function
 is shown below. Determine the vertical and horizontal asymptotes of its
graph.

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6.
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Determine the domain of .
a. | all real numbers except  | b. | all real
numbers | c. | all real numbers except  | d. | all real numbers
except  | e. | all real numbers except  |
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7.
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Find the vertex and focus of the parabola for the
given equation and select its graph.

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8.
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Find the standard form of the equation of the
parabola with the given characteristic(s) and vertex at the origin.
Focus: 
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9.
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Select the standard form of the equation of the
parabola and determine the coordinates of the focus.

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10.
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Find the standard form of the equation of the
ellipse with the given characteristics and center at the origin.
Vertices: ;
foci: 
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11.
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Find the standard form of the equation of the
hyperbola with the given characteristics and center at the origin.
Vertices: ;
foci: 
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12.
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Identify the conic.

a. | Circle | b. | Ellipse | c. | Parabola | d. | Hyperbola | e. | Line |
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13.
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Find the standard form of the equation of the
hyperbola with the given characteristics and center at the origin.
vertices: ;
foci: 
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14.
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Match the equation with its graph.

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15.
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Find the vertices and asymptotes of the
hyperbola.

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16.
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Find the standard form of the equation of the
hyperbola with the given characteristics. foci: asymptotes: 
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17.
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Sketch the graph of the ellipse, using the lateral
recta.

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18.
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Describe the translation of the graph of the given
conic from the standard position.


a. | Center: , horizontal shift four units
to the upward and vertical shift one unit left | b. | Center: , horizontal shift four units to the right and
vertical shift one unit upward | c. | Center: , horizontal shift four units to the left and vertical shift one unit
downward | d. | Center: , horizontal shift four units
to the right and vertical shift one unit upward | e. | Center: , horizontal shift four units to the left and vertical shift one unit
upward |
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19.
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Describe the translation of the graph of the given
conic from the standard position.


a. | Vertex: , horizontal shift five units
to the left and vertical shift one unit upward | b. | Vertex: , horizontal shift five units to the left and vertical shift one unit
upward | c. | Vertex: , horizontal shift five units
to the right and vertical shift one unit upward | d. | Vertex: , horizontal shift five units to the left and vertical shift one unit
downward | e. | Vertex: , horizontal shift five units
to the left and vertical shift one unit upward |
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20.
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Find the standard form of the equation of the
ellipse with the given characteristics. center: foci: 
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