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Do Now: Plot the following coordinates in a coordinate plane: HW: Page 231 67,68,69,70.

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Presentation on theme: "Do Now: Plot the following coordinates in a coordinate plane: HW: Page 231 67,68,69,70."— Presentation transcript:

1 Do Now: Plot the following coordinates in a coordinate plane: HW: Page 231 67,68,69,70

2 Definition A relation is any set of ordered pairs. The set of the first coordinates is the domain of the relation and the set of second coordinates is the range.

3 Mapping Diagram DRDR

4 Definition A function is a relation in which different ordered pairs have different first coordinates.

5 Mapping Diagram -2 0 1 -2 0 1 134134 134134 DRDR

6 Definition A function is one-to one if no two elements of the domain have the same image.

7 One-to-One -2 0 1 -2 0 1 134134 134134 DRDR

8 If a function is one to one it has an inverse. On can use the vertical line test to disprove the a representation is a function. On can use the __________ test to disprove the a representation has an inverse.

9 Fin two ways to restrict the domain so that the function is one-to-one.

10


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