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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Determine which point lies on the graph of the
equation  .
a. | (0, –8) | b. | (1, –10) | c. | (0,
–10) | d. | (1,
–8) | e. | (2, –9) |
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4.
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Use algebraic tests to check the following for
symmetry with respect to the axes and the origin.
a. | Symmetric with respect to the
y-axis. | b. | No
symmetry. | c. | Symmetric with respect to the
x-axis. | d. | Symmetric with
respect to the origin. |
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5.
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Use algebraic tests to check the following for
symmetry with respect to the axes and the origin.
a. | No symmetry | b. | Symmetric with respect to the y-axis. | c. | Symmetric with respect to the x-axis. | d. | Symmetric with respect to the origin. |
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6.
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You purchase a jet ski for $10,000. The depreciated
value, y, after x years is given by  . Sketch the graph of the
equation given  .
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7.
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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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8.
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Does the table describe a function?| Input value | 2001 | 2002 | 2003 | 2004 | 2005 | | Output value | 30 | 60 | 30 | 50 | 40 | | | | | | |
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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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Evaluate the function at the specified value of the
independent variable and simplify.
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11.
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Find all real values of x such that f
(x) = 0.
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12.
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A rectangle is bounded by the x-axis and the
semicircle  (see figure). Write the area A of
the rectangle as a function of x and determine the domain of the function.
–2
2
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13.
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Use a graphing utility to graph the function and
find the zeroes of the function.
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14.
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Use the position equation  to write a function that represents the situation and give the average velocity of
the object from time t1 to time t2.
An object is thrown upward
from a height of 174 feet at a velocity of 1 feet per second.
t1 = 1, t2 =
5
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15.
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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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16.
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Evaluate the indicated function for  .
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17.
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18.
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19.
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Find the inverse function of
f.
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20.
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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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