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Inverse Relations & Functions

Inverse Relations & Functions. Today’s Objective: I can find the inverse of a relation. Inverse Relation & Function. Inverse Relation: set of ordered pairs ( y , x ). Relation: set of ordered pairs ( x , y ). Switch x and y. Function: Every x has exactly one y .

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Inverse Relations & Functions

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  1. Inverse Relations & Functions Today’s Objective: I can find the inverse of a relation.

  2. Inverse Relation & Function Inverse Relation: set of ordered pairs (y, x) Relation: set of ordered pairs (x, y) Switchx and y Function: Every xhas exactly one y. Inverse Function: Every y has exactly one x. One to One Function: A relation and its inverse are both functions.

  3. Graphing Relations & Its Inverse Window: [-10, 10, 1, -10, 10, 1] Calculator: Input into [y =] [Graph] Drawing inverse relation [2nd], [DRAW], [▼] to 8 DrawInv, [enter] Inverse is reflection across y = x All real # Domain: Range: All real #

  4. Inverse of an Equation: Algebraically Switchx and y Switchx and y Which equations are functions? Yes No

  5. One to One Functions Graph the functionWhat is the domain & range? Find the inverse Domain: Range: Evaluate: Domain: Range: 6-7 p. 410: 8-40 evens

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