Exam 8: Exponential Functions and Logarithmic Functions

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Graph the function as a solid curve and its inverse as a dashed curve. -Graph the function as a solid curve and its inverse as a dashed curve. -

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Graph the relation using solid circles and the inverse using open circles. -{(8, -6), (6, -5), (4, -4), (2, -3)} Graph the relation using solid circles and the inverse using open circles. -{(8, -6), (6, -5), (4, -4), (2, -3)}

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Find the inverse of the relation. -{(9, 7), (-7, -9), (-1, -5), (1, 5)}

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Solve the problem. -A computer is purchased for $4300. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function Solve the problem. -A computer is purchased for $4300. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function   Find the value of the computer after 8 years. Find the value of the computer after 8 years.

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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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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 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 linear 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 linear graph to estimate the profits in the year 2002.

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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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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 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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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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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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Solve the problem. -The amount of particulate matter left in solution during a filtering process decreases by the equation Solve the problem. -The amount of particulate matter left in solution during a filtering process decreases by the equation   where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.) where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

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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 the relation using solid circles and the inverse using open circles. -{(-4, 9), (-9, 4), (-4, 5), (4, -5)} Graph the relation using solid circles and the inverse using open circles. -{(-4, 9), (-9, 4), (-4, 5), (4, -5)}

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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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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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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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