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MDC MAC 2233 - Additional Exponential Models

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4.4 Additional Exponential ModelsMAC2233 (3.4) FIU, MDC-North4.4 Additional Exponential ModelsDetermine where the given function is increasing and decreasing and where its graph is concaveupward and concave downward. Sketch the graph of the function. Label all key points (minimums, maximums, intercepts, points of inflections, asymptotes, etc.)1.( )xf xe221 3=+(#10) 2. ( )xf xxln= (#20)DomainInterceptsAsymptotesFirst DerivativeIncreasingDecreasingExtremaSecondDerivativeConcaveUpConcaveDownInflectionPointsMAC2233 (3.4) FIU, MDC-North3. It is estimated that t years from now, the population of a certain country will be( )tP te0.06202 3-=+ million. [a] What is the current population?[b] What will the population be in 50 years?[c] What will happen to the population in the long run?4. A business estimates that when x thousand people are employed, its profit will be( )xP x x210 ln 1225� �= + -� �� � (million dollars) for x > 0. What level of employment maximizes profit? What is the maximum


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MDC MAC 2233 - Additional Exponential Models

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