Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the vertex of the graph of the quadratic
function .
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2.
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Write the quadratic function
in standard form.
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3.
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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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4.
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Find all real zeros of the polynomial and determine the multiplicity of each.
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5.
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An open box is to be made from a square piece of
cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the
corners and turning up the sides (see figure below). Determine the function, V, in terms of
x, that represents the volume of the box.
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6.
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Use long division to divide.
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7.
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Use long division to divide.
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8.
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If , use synthetic division to
evaluate .
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9.
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If is a root of , use synthetic division to factor the polynomial completely and list all real solutions
of the equation.
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10.
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Simplify the rational expression, ,
by using long division or synthetic division.
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11.
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Solve the equation and write complex solutions in
standard form.
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12.
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Find all zeros of the function .
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13.
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Find a polynomial with real coefficients that has
zeros –10, 2i, and –2i.
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14.
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Find a polynomial with real coefficients that has
zeros 3, 3, , and .
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15.
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Given that is a zero of
, find all the zeros
of f.
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16.
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Determine the equations of the vertical and
horizontal asymptotes of the graph of the function .
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17.
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Determine the zeros (if any) of the rational
function .
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18.
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Determine the zeros (if any) of the rational
function .
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19.
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Find 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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20.
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Find the domain of the function.
a. | | b. | all real numbers | c. | | d. | | e. | |
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