Exam 13: Exponential Functions and Logarithmic Functions

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Find the common logarithm to four decimal places. -log 0.63

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why   is an exponential function but   is not. is an exponential function but Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why   is an exponential function but   is not. is not.

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Solve the problem. -A computer is purchased for $4500. Its value each year is about 77% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t) = Solve the problem. -A computer is purchased for $4500. Its value each year is about 77% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t) =   Find the value of the computer after 6 years. Find the value of the computer after 6 years.

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Graph the function. -Graph the function. -

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Solve the problem. -The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D(x) = Solve the problem. -The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D(x) =   where x is the time in milliseconds of the lightning strike. Find the number of dislocated Impulses at x = 0 and x = 5 . where x is the time in milliseconds of the lightning strike. Find the number of dislocated Impulses at x = 0 and x = 5 .

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Find the inverse of the relation. -{(-8, -7), (7, 8), (-4, -3), (4, 3)}

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Express as a product. -Express as a product. -

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Determine whether the function is one-to-one. -f(x) = Determine whether the function is one-to-one. -f(x) =   - 6  - 6

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Express as a single logarithm. -Express as a single logarithm. -

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Express as a single logarithm. -Express as a single logarithm. -

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Find the requested composition of functions. -Given f(x) = Find the requested composition of functions. -Given f(x) =   - 3 and g(x) =   find  - 3 and g(x) = Find the requested composition of functions. -Given f(x) =   - 3 and g(x) =   find  find Find the requested composition of functions. -Given f(x) =   - 3 and g(x) =   find

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Graph the function. -Graph the function. -

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Determine whether the function is one-to-one. -f(x) = Determine whether the function is one-to-one. -f(x) =   + 8  + 8

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Solve the equation. -Solve the equation. -

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Graph. -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 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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Find the logarithm. -Find the logarithm. -

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Find the requested composition of functions. -Given f(x) = Find the requested composition of functions. -Given f(x) =   + 8 and g(x) =   - 8, find  + 8 and g(x) = Find the requested composition of functions. -Given f(x) =   + 8 and g(x) =   - 8, find  - 8, find Find the requested composition of functions. -Given f(x) =   + 8 and g(x) =   - 8, find

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Find the logarithm. -log8 8

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Solve the problem. -In a study by psychologists Bornstein and Bornstein, it was found that the average walking speed w, in feet per second, of a person living in a city of population P, in thousands, is given by the function w(P) = 0.37 ln P + 0.05. Find the walking speed of people in a city with a population of 1,760,888.

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