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# Pre-Cal 30S January 8, 2009

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Definition of a function, operations on functions, function composition.

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### Pre-Cal 30S January 8, 2009

1. 1. Functions: Putting the pieces together puzzling reach by ﬂickr user jnthnhys
2. 2. What is a function? Let's play a game ... All functions are relations, but not all relations are functions.
3. 3. An example of a relation, that is a function is: An example of a relation, that is NOT a function is: What's The Verticle Line Test?
4. 4. Relations one-to-many Functions many-to-one one-to-one
5. 5. The Verticle Line Test Sweep a vertical line across the graph of the function. If the line crosses the graph more than once it is not a function, only a relation.
6. 6. Commutativity + • functions, order in which you put them When Adding or Multipyling in doesn't matter, this is called the Commutative Law. / – or Dividing, order in which you put them in does When Subtracting matter because it can result in different answers.
7. 7. Operations on Functions = = = = = = = = = =
8. 8. ° Operations on Functions = = °
9. 9. ° Operations on Functions = = ° ° ° °