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Identifying functions and using function notation

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  1. Identifying functions and using function notation Lesson 4 and lab 1

  2. A relation is a pairing of input and output values • The domain contains the input values. • The range of a function or relation contains the output values. • The input value, normally x, is the independent variable. • The output, normally y, is called the dependent variable

  3. Caution!!!!! • In a function, the y values may repeat, the x values may not.

  4. Function • A function is a mapping between 2 sets that associates with each element of the first set, the domain, a unique (one and only one) element of the second set, the range.

  5. Identifying functions 4 -5 2 6 3 -1

  6. Identifying functions, domain and range 4 3 3 2 4 -5 7 8

  7. Vertical line test • When a relation is represented by a graph, the vertical line test is used to determine if the relation is a function

  8. Are these functions?

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