2.3 Represent Relations & Functions p. 33

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Presentation transcript:

2.3 Represent Relations & Functions p. 33

Relations Input Output Input Output Domain Domain Range Range relation: a mapping, or pairing, of input values with output values Input Output Input Output 5 -2 5 -2 -1 3 -1 3 -3 -3 7 9 7 9 Domain Domain Range Range

Relations As Ordered Pairs You can write a “relation” as ordered pairs… 5 -2 5 -2 -1 3 -1 3 -3 -3 9 7 9 7

Functions Function Relation function: a relation for which each input value has ________ ____ output value. 5 -2 5 -2 -1 3 -1 3 -3 -3 9 7 9 7 Function Relation

Vertical Line Test By the vertical line test, a relation is a function if and only if no vertical line intersects the graph of the relation at more than ______ point.

More Vocabulary An equation in 2 variables has an: ( ) ( ) An ordered pair (x, y) is a solution of an equation in two variables if substituting x and y into equation produces a _______ statement The graph of an equation in two variables is the set of all points (x, y) that represent _________ of the equation.

More Vocabulary A linear function can be written in the form _________ where m and b are constants, or in function notation as ____________. A function is one-to-one if no two values in the domain have the same value in the range.

Ex. 1: Represent relations & identify functions

Guided Practice p. 34 #1-2

Ex. 2: Graph an EQ in 2 variables Graph y = 3x + 2

Ex. 3: Classify & evaluate functions

Homework Use graph paper… Pg. 35, 1 – 27 odds