Exam 8: Exponential Functions and Logarithmic Functions

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Graph. -Graph. -

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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 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 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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Find the inverse of the relation. -{(4, 7), (-13, -8), (2, -11)}

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Find the inverse of the relation. -{(6, 5), (11, 6), (9, 7), (7, 8)}

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Find the requested composition of functions. -Given f(x)= 5x + 12 and g(x)= 4x - 1, find f°g(x).

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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 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 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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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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Find the requested composition of functions. -Given Find the requested composition of functions. -Given   and g(x)= x - 1, find g°f(x). and g(x)= x - 1, find g°f(x).

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Graph. -Graph. -

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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 exponential 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 exponential 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 exponential graph to estimate the profits in the year 2001.

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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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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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Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to   where x is time in days. Find the number of bacteria when x = 0 and x = 4 . where x is time in days. Find the number of bacteria when x = 0 and x = 4 .

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

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