1. Find the inverse of the relation
Determine whether the function is one-to-one. Answer yes or no.
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3.
In Exercises 4–7, given the function:
Sketch the graph and determine whether the function is one-to-one.
If it is one-to-one, find a formula for the inverse.
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7.
8. Use composition of functions to show that
9. Find the inverse of the one-to-one function
Give the domain and the range of f and of
Graph the function.
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13.
Find each of the following. Do not use a calculator.
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18. Convert to an exponential equation:
19. Convert to a logarithmic equation:
Find each of the following using a calculator. Round to four decimal places.
20.
21.
22. Find
23. Express as a single logarithm:
24. Express
25. Given that
26. Simplify:
Solve.
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30.
31. Earthquake Magnitude. The earthquake in Bam, in southeast Iran, on December 26, 2003, had an intensity of
32. Growth Rate. A country’s population doubled in 45 years. What was the exponential growth rate?
33. Compound Interest. Suppose $1000 is invested at interest rate k, compounded continuously, and grows to $1144.54 in 3 years.
Find the interest rate.
Find the exponential growth function.
Find the balance after 8 years.
Find the doubling time.
34. The graph of
35. Solve: