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1.
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Evaluate the function at the indicated value of . Round your
result to three decimal
places. Function
Value
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2.
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Match the graph with its exponential function.
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3.
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Select the graph of the function.
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4.
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Use a graphing utility to construct a table of values for the function. Round
your answer to two decimal places.
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5.
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Use the graph of to determine the transformation that yields
the graph of .
a. | Shift the graph of f eight units to the left. | b. | Shift the graph of
f eight units upward. | c. | Shift the graph of f eight units
to the right. | d. | Shift the graph of f eight units downward. | e. | Both the graphs f
and g are same. |
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6.
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Use the graph of to determine the transformation that yields
the graph of .
a. | Reflect the graph of f in the -axis and shift six units
downward. | b. | Both the graphs f and g are same. | c. | Reflect the graph
of f in the -axis and shift six units
upward. | d. | Reflect the graph of f in the -axis and shift six units
upward. | e. | Reflect the graph of f in the -axis and shift six units
downward. |
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7.
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Use the graph of to determine the transformation that yields
the graph of .
a. | Reflect the graph of f in the -axis. | b. | Shift the graph of
f two units upward. | c. | Reflect the graph of f in the
origin. | d. | Shift the graph of f two units downward. | e. | Reflect the graph of
f in the y-axis. |
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8.
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Evaluate the function at the indicated value of . Round your
result to three decimal places. Function
Value
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9.
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After years, the value of a wheelchair conversion
van that originally cost $ depreciates so that each year it is worth
of its value for the previous year. Find a
model for , the value of the van after
years.
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10.
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Let Q represent a mass of radioactive radium ( 226Ra) (in
grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 300 years. Round to the nearest hundredth of a
gram.
a. | 0.00 g | b. | 0.47 g | c. | 5.00
g | d. | 4.39 g | e. | 0.88 g |
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