Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Functions f(x) and g(x) are graphed below.  Which
statement is true? a. | f(x) > g(x) for all values of x | b. | f(x) < g(x)
for all values of x | c. | f(x) < 2 and g(x) > 1 for all values of
x | d. | f(x) > 2
and g(x)  1 for all values
of x |
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2.
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Consider the functions:
g(x) =
x2
h(x) = 2x –
3
Which statement is always true?
a. | g(x) < h(x) for all values of x | b. | g(x) = h(x) for
all values of x | c. | g(x) > h(x)
for all values of x |
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3.
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Functions f(x) and g(x) are graphed at the right.  For which values of x is g(x) > f(x) ? a. | x < 0 | b. | 0 < x <
2 | c. | 0 < x < 4 | d. | x < 0 or x >
4 |
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4.
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Which statement BEST describes the comparison of the continuous functions
f(x) and g(x) based on the partial set of values shown below?
 a. | The values of f(x) will most
likely always exceed the graph of g(x). | b. | The values of g(x) will most likely always exceed the graph of
f(x). | c. | The values of f(x) will most likely exceed the graph of g(x) over the interval [5,10]. | d. | The values of
g(x) will most likely begin to exceed the graph of
f(x) within
the interval [4,5]. |
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5.
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Functions f(x) and g(x) are graphed below.  Which
transformation of f(x) is always less than
g(x)? (i.e. which is the only statement
that is always true below) a. | f(- x) < g(x) | b. | - f(x) < g(x) | c. | ½•f(x) < g(x) | d. | 2•f(x) < g(x) |
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6.
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Functions f(x) and g(x) are graphed below.  Which
transformation of g(x) is always greater than f(x)? (i.e. which is the only statement that is always
true below) a. | g(- x) > f(x)
| b. | - g(x) > f(x)
| c. | g(x)- 4 > f(x)
| d. | g(x)+4 > f(x)
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