Exam 8: Exponential Functions and Logarithmic Functions

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Determine whether the function is one-to-one. -Determine whether the function is one-to-one. -

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Determine whether the given function is one-to-one. If so, find a formula for the inverse. -Determine whether the given function is one-to-one. If so, find a formula for the inverse. -

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Graph the relation using solid circles and the inverse using open circles. -{(2, 5), (-2, -5), (8, -3), (-8, 3)} Graph the relation using solid circles and the inverse using open circles. -{(2, 5), (-2, -5), (8, -3), (-8, 3)}

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Graph. -Graph. -

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Graph the relation using solid circles and the inverse using open circles. -{(-16, -4), (-14, -7), (18, 12)} Graph the relation using solid circles and the inverse using open circles. -{(-16, -4), (-14, -7), (18, 12)}

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Find the inverse of the relation. -{(-4, -3), (4, 3), (9, 5), (-9, -5)}

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Find f(x)and g(x)such that h(x)= Find f(x)and g(x)such that h(x)=   - -Find f(x)and g(x)such that h(x)=   -

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Determine whether the function is one-to-one. -Determine whether the function is one-to-one. -

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Solve the problem. -The half-life of a certain radioactive substance is 17 years. Suppose that at time t = 0, there are 30 g of the substance. Then after t years, the number of grams of the substance remaining will be: Solve the problem. -The half-life of a certain radioactive substance is 17 years. Suppose that at time t = 0, there are 30 g of the substance. Then after t years, the number of grams of the substance remaining will be:   How many grams of the substance will remain after 136 years? Round to the nearest hundredth when necessary. How many grams of the substance will remain after 136 years? Round to the nearest hundredth when necessary.

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Find f(x)and g(x)such that h(x)= Find f(x)and g(x)such that h(x)=   - -Find f(x)and g(x)such that h(x)=   -

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Find the requested composition of functions. -Given Find the requested composition of functions. -Given   find g°f(x). find g°f(x).

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Graph. -Graph. -

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Determine whether the function is one-to-one. -Determine whether the function is one-to-one. -

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Graph. -Graph. -

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Solve the problem. -The half-life of Krypton 88 is 2.8 hours. If the formula Solve the problem. -The half-life of Krypton 88 is 2.8 hours. If the formula   gives the percent (as a decimal)remaining after time t (in hours), sketch P versus t.  gives the percent (as a decimal)remaining after time t (in hours), sketch P versus t. Solve the problem. -The half-life of Krypton 88 is 2.8 hours. If the formula   gives the percent (as a decimal)remaining after time t (in hours), sketch P versus t.

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Graph. -Graph. -

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Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table: Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2001.  The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2001. Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2001.

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Find an equation of the inverse of the relation. -Find an equation of the inverse of the relation. -

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Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -

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Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table: Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2002.  The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2002. Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below)to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2002.

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