Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Select the graph of the function  .
Compare the graph of this function with the graph of  .
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2.
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The total revenue  earned per
day (in dollars) from a pet-sitting service is given by
where
 is the price charged per pet (in
dollars).
Find the revenue when the price per pet is $ .
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3.
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From the graph of the quadratic function  , determine the equation of the axis of symmetry.
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4.
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Write the quadratic function 
in standard form.
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5.
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Write the standard form of the equation of the
parabola that has a vertex at  and passes through the point  .
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6.
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A Norman window has the shape of a rectangle
surmounted by a semicircle as in the figure below. If the perimeter of the window is  ,
express the area, A, as a function of the width, x, of the window.
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7.
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Select the correct description of right-hand and
left-hand behavior of the graph of the polynomial function.
a. | Rises to the left, falls to the
right | b. | Rises to the right, rises to the
left | c. | Falls to the left, rises to the
right | d. | Falls to the right | e. | Falls to the left,
falls to the right |
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8.
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Select the graph of the function and determine the
zeros of the polynomial.
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9.
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Select the graph of the function and use the zero
or root feature to approximate the real zeros of the function.
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10.
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Select the graph of the function and use the zero
or root feature to approximate the real zeros of the function.
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11.
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Use the Remainder Theorem and synthetic division to
find the function value.
 
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12.
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Determine whether the statement is true or false.
Justify your answer.
The rational expression
is
improper.
a. | True. The degree of the numerator is greater than the
degree of the denominator. | b. | False. The degree
of the denominator is smaller than the degree of the
numerator. |
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13.
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Use long division to divide.
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14.
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Use the Remainder Theorem and synthetic division to
find the function value. Verify your
answer using another method.
 
a. | –343 | b. | 343 | c. | 345 | d. | 340 | e. | 344 |
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15.
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Use synthetic division to divide.
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16.
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Find a polynomial function with real coefficients
that has the given zeros.
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17.
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Find all real solutions of the polynomial equation
 .
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18.
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Given  is a root, determine
all other roots of  .
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19.
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Use Descartes' Rule of Signs to determine the
possible number of positive and negative zeros of  .
a. | 1 positive real; 3 negative reals or 1 negative
real | b. | no positive reals; no negative
reals | c. | 1 positive real; 5 negative reals or 3 negative reals or
1 negative real | d. | 5 positive reals
or 3 positive reals or 1 positive real; no negative reals | e. | 3 positive reals or 1 positive real; 3 negative reals or 1 negative
real |
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20.
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Use the given value of k to complete the
table for the inverse variation model
 .
Plot the points on a
rectangular coordinate system.
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