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Identifying functions and using function notation

Learn about functions and their notation, including domains, ranges, and independent and dependent variables. Discover how to identify functions, domains, ranges, and apply the vertical line test. Practice mapping sets and associating elements effectively.

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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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