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| Helping with Homework | |
| Preparing for Tests | |
| Preparing for College | |
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This unit introduces inverse functions. Logarithms and the properties
of logarithms were introduced in Course 2 Unit 5 and are revisited
here. Then the logarithm function as the inverse of exponential function
base is studied. Students also develop an understanding of the
inverse sine, cosine, and tangent functions and consider applications
of these functions.
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For a given function f, if the function g has domain equal to the range of f, range equal to the domain of f, and g(f(x)) = x for all x, then g is called the inverse of f. For example, for f(x) = 2x + 4, the inverse function is g(x) = (x − 4)/2. (See pages 543-548.)
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Logarithms: and their properties (See pages 560-566.)
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Sine, cosine, and tangent inverse functions: (See pages 577-581 and 586-588.)
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Trigonometric equations: finding solutions (See pages 581-583.)