Math 107 help

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MTH 107 Quiz 13 (Not to Turn-in)

Name:____________________

Instructions: Write your answers in the space provided. You must show all of your work for full credit. Use techniques learned in class when possible. Points are awarded based on the quality of your work. Have Fun. (1) Suppose the population of bunnies in an area is 500 in 2009 and 850 in 2013. Create an exponential function which models the bunny population as a function of years after 2009. (2) Suppose Claire has an award winning bunny who is valued at $3000 in 2005. Eight years later (in 2013) the same bunny is valued at $600. Assuming that the value of bunnies is exponential, how much is the bunny worth in 2017?

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(3) Create a function which models the following graph.

(4) Given the basic function f(x) = log3(x), find a function which (a) shifts f(x) upwards 5 units AND (b) shifts f(x) to the right by 8 units. Solution: ________________________