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4-6 Formalizing Relations & Functions

4-6 Formalizing Relations & Functions. Objective: TO determine whether a relation is a fn , find domain, find range, and use fn notation. 4-6 Formalizing Relations & Functions.

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4-6 Formalizing Relations & Functions

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  1. 4-6 Formalizing Relations & Functions Objective: TO determine whether a relation is a fn, find domain, find range, and use fn notation.

  2. 4-6 Formalizing Relations & Functions • A relation is a pairing of numbers in one set, called the domain, with numbers in another set, called the range. The relation is often represented by ordered pairs (x, y). • Domain is x values (Independent) • Range is y values (Dependent) • Remember a fn is defined as every input as one and only one output.

  3. 4-6 Formalizing Relations & Functions • Identify domain and range of each relation and represent the relation with a mapping diagram. Is the relation a fn? • {(-2, 0.5}, (0, 2.5), (4, 6.5), (5, 2.5)}

  4. 4-6 Formalizing Relations & Functions • Another way to check if a relation is a function is to analyze the graph using the vertical line test. That is if any vertical line passes through more than one point of the graph, IT IS NOT a function.

  5. 4-6 Formalizing Relations & Functions • Function notation:

  6. 4-6 Formalizing Relations & Functions • HW p. 271 9 – 21 every third

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