Pre-Cal 30S January 9, 2009

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Inverse functions.

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Pre-Cal 30S January 9, 2009

  1. 1. Baby Play or All About Inverse Functions duck wrangling by toyfoto
  2. 2. For each of the following functions, identify the inner function g(x) and the outer function F(x). Chain Linkage
  3. 3. Many-to-one function More than one member of the domain is mapped to a single member of the range. http://fooplot.com 1 -2 mapping 4 5 9 -2 output input range domain
  4. 4. One-to-one function Function where each (one) member of the domain is mapped to a unique (one) member of the range. http://fooplot.com 1 -2 4 5 9 7
  5. 5. Horizontal line test Used only on the graphs of functions. (i.e the vertical line test has already been satisfied). Sweep a horizontal line across the graph of any function if the line crosses the graph more than once the function is many-to-one if the line crosses the graph everywhere exactly once then the function is one-to-one.
  6. 6. Baby Play or All About Inverse Functions duck wrangling by toyfoto
  7. 7. Inverses ... The concept ... Numerically speaking ...
  8. 8. Inverses ... Algebraically speaking ... Conceptually analyzing the function ...
  9. 9. Inverses ... Graphically speaking ...
  10. 10. Find the inverse: x x y y 12 -2 -2 12 7 -1 -1 7 -3 0 0 -3 5 5 1 1 0 0 2 2

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