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 coordinates for the point that is eight
units to the left of the y-axis and is seven units up from the x-axis.
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2.
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Find the distance between the two points and .
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3.
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Find the midpoint between the two points and .
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4.
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Create and complete a table to find the x
and y coordinates of points that lie on the graph of the equation below. Plot at least 5
points along with the graph of the equation.
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5.
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Find the x- and y-intercepts of the
graph of the equation .
a. | x-intercept: (49, 0) y-intercept: (0,
7) | b. | x-intercept: (–7, 0) y-intercept:
(0, –49) | c. | x-intercept: (7, 0) y-intercept: (0,
49) | d. | x-intercept: (49, 0) y-intercept: (0,
49) | e. | x-intercept: (7, 0) y-intercept: (0,
–7) |
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6.
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Assume the graph has the indicated type of
symmetry. Sketch the complete graph.
symmetric with respect to the
origin
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7.
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Does the table describe a function?Input value | –4 | –2 | 0 | 2 | 4 | Output value | 7 | 7 | 7 | 7 | 7 | | | | | | |
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8.
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Does the table describe a function?Input value | 10 | 30 | 10 | 20 | 40 | Output value | 2001 | 2002 | 2003 | 2004 | 2005 | | | | | | |
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9.
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Which equation does not represent y as a
function of x?
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10.
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Find all real values of x such that f
(x) = 0.
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11.
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Find the difference quotient and simplify your
answer.
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12.
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Use the graph of the function to find the domain
and range of f.
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13.
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Find ( f +
g)(x).
a. | ( f + g)(x) = | b. | ( f +
g)(x) = | c. | ( f + g)(x) = | d. | ( f + g)(x) = | e. | ( f + g)(x) = |
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14.
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Evaluate the indicated function for .
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15.
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16.
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Find the inverse function of
f.
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17.
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Use the functions given by
and to find the indicated value.
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18.
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Assume that y is directly proportional to
x. If and , determine a linear model
that relates y and x.
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19.
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The sales tax on an item with a retail price of
$972 is $77.76. Create a variational model that gives the retail price, y, in terms of the
sales tax, x, and use it to determine the retail price of an item that has a sales tax of
$92.34.
a. | $1156.24 | b. | $1154.25 | c. | $1098.56 | d. | $1125.88 | e. | $1166.48 |
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20.
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Find a mathematical model for the verbal
statement: "z varies directly as the square
of x and inversely as p."
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