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4-6 Formulizing Relations and Functions

Learn about relations and functions, how to identify functions using mapping diagrams and the vertical line test, and evaluate functions. Also, discover how to find the range of a function based on its domain.

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4-6 Formulizing Relations and Functions

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  1. 4-6 Formulizing Relations and Functions

  2. Relation: a pairing of number in one set with numbers in another set Domain: the x values in the ordered pair Range: the y values in the ordered pair

  3. Problem 1: Identifying Functions Using Mapping Diagrams Identify the domain and range of each relation. Is the relation a function?

  4. Identify the domain and range of each relation. Is the relation a function?

  5. Vertical Line Test: another way to test if a relation is a function If any vertical line passes through more than one point of the graph, then for some domain value there is more than one range value. So the relation is not a function

  6. Problem 2: Identifying Functions Using the Vertical Line Test Is the relation a function? Use the vertical line test.

  7. Is the relation a function? Use the vertical line test.

  8. Function Notation: • If is read as “f of x” • The letter f is the name of the function, not a variable • It depends on the independent variable of x • Other letter besides f can be used, such as g or h

  9. Problem 3: Evaluating a Function The function represents the number of words you can read in x minutes. How many can you read in 8 minutes

  10. Problem 4: Finding the range of a function The domain of . What is the range?

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