Exam 11: Exponential Functions

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Find x . Find x .

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For For   , choose the graph of the relation and its inverse. , choose the graph of the relation and its inverse.

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The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula: The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:   The car depreciates in value according to the following depreciation table. AGE IN YEARS VALUE IN DOLLARS new 4 7,150 5,750 Find the annual rate of depreciation. Round the result to the nearest tenth. __________% The car depreciates in value according to the following depreciation table. AGE IN YEARS VALUE IN DOLLARS new 4 7,150 5,750 Find the annual rate of depreciation. Round the result to the nearest tenth. __________%

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Find x . Find x .

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Choose the graph of the function below. Choose the graph of the function below.

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If If   then   Use these two functions to find   and  then If   then   Use these two functions to find   and  Use these two functions to find If   then   Use these two functions to find   and  and If   then   Use these two functions to find   and

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For the following one-to-one function, find the equation of the inverse. For the following one-to-one function, find the equation of the inverse.

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Find a decimal approximation of the following natural logarithm. ln 0.341

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Write the equation in logarithmic form. Write the equation in logarithmic form.

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Solve the exponential equation. Solve the exponential equation.

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Solve the exponential equation. Round your answer to four decimal places, if necessary. Solve the exponential equation. Round your answer to four decimal places, if necessary.   x = __________ x = __________

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Write the equation in logarithmic form. Write the equation in logarithmic form.

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Simplify. Simplify.

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Find a decimal approximation of the following natural logarithm. ln 3,350

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Use the functions defined in Tables 1 and 2 to answer the following questions. Table 1 Table 2 x f ( x ) x g ( x ) - 8 - 4 - 4 1 1 4 - 1 4 4 - 1 4 - 8 8 5 5 8 Is f a one-to-one function? __________ Is g a one-to-one function? __________

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Find the following logarithm to four decimal places, if necessary. Find the following logarithm to four decimal places, if necessary.

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The half-life of iodine-131 is 8 days. A patient is administered a 1,100-microgram dose of iodine-131 . How much iodine-131 will be in the patient's system after 8 days? __________ micrograms How much iodine-131 will be in the patient's system after 21 days? Please round your answer to one decimal place. __________ micrograms

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