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Relations and Functions

Relations and Functions. Objectives: Understand, map, and determine if a relation is a function. Relations & Functions. Relation : a set of ordered pairs Domain : the set of x -coordinates Range : the set of y -coordinates

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Relations and Functions

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  1. Relations and Functions Objectives: • Understand, map, and determine if a relation is a function.

  2. Relations & Functions Relation: a set of ordered pairs Domain: the set of x-coordinates Range: the set of y-coordinates When writing the domain and range, do not repeat values.

  3. Relations and Functions Given the relation: {(2, -6), (1, 4), (2, 4), (0,0), (1, -6), (3, 0)} State the domain: D: {0,1, 2, 3} State the range: R: {-6, 0, 4}

  4. Relations and Functions • Relations can be written in several ways: ordered pairs, table, graph, or mapping. • We have already seen relations represented as ordered pairs.

  5. Table {(3, 4), (7, 2), (0, -1), (-2, 2), (-5, 0), (3, 3)}

  6. Mapping to Determine a Function • Create two ovals with the domain on the left and the range on the right. • Elements are not repeated. • Connect elements of the domain with the corresponding elements in the range by drawing an arrow.

  7. Linear Function • A function is a relation in which the members of the domain (x-values) DO NOT repeat. • So, for every x-value there is only one y-value that corresponds to it. • y-values can be repeated.

  8. Do the ordered pairs represent a function? • Use mapping strategy • Thinking: The x value can only be assigned to one y

  9. Mapping to Determine a FunctionI DO {(3, 4), (7, 2), (0, -1), (3, 3)}

  10. Mapping to Determine a FunctionWe DO {(4, 1), (5, 2), (8, 2), (9, 8)}

  11. Mapping to Determine a FunctionYOU DO {(4, 5), (6, 2), (8, 2), (9, 8)}

  12. Exit Ticket: Which relation is a function? Justify your answer as to why it is not a function Relation # 1 (0,1), (1,2), (2,4) Relation # 2 (0,1), (1,2), (1,4)

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