Chapter 5: Q. 39 (page 284)
In Problems , the graph of an exponential function is given. Match each graph to one of the following functions.

Short Answer
The function is and matches to (e)
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Chapter 5: Q. 39 (page 284)
In Problems , the graph of an exponential function is given. Match each graph to one of the following functions.

The function is and matches to (e)
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Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. Verify your results using a graphing utility.
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
Use the given function to:
(a) Find the domain of f.
(b) Graph f.
(c) From the graph, determine the range and any asymptotes of f.
(d) Find , the inverse of f.
(e) Find the domain and the range of .
(f) Graph .
Foreign ExchangeTraders often buy foreign currency in hope of making money when the currency’s value changes.
For example, on March 22, 2011, one U.S. dollar could purchase 0.7045 Euros, and one Euro could purchase 114.9278 yen. Let represent the number of Euros you can buy with dollars, and let represent the number of yen you can buy with Euros.
(a) Find a function that relates dollars to Euros.
(b) Find a function that relates Euros to yen.
(c) Use the results of parts (a) and (b) to find a function that relates dollars to yen. That is, find
(d) What is ? Interpret this result.
A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for there to be 2 mg remaining?
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