2.1 “Relations & Functions”Relation: a set of ordered pairs.

Function: a relation where the domain (“x” value) does NOT repeat.

Domain: “x” values

Range: “y” values

Cartesian Coordinate Plane:

Definitions

Discrete Function: ordered pairs that are NOT connected.

Continuous Function: ordered pairs that are connected in a line or a smooth curve.

Vertical Line Test: used to determine if the relation is a function.

Examples

State whether the relation is a function:1.

10 020 125 530 7

2. x y -3 -5

4 -5 -8 -5

3.

F(x) & G(x) Problems

Find the value if f(x) = 3x – 5 and g(x) = x2 – 3x + 2:

1. f (-3)

2. g (2m)

3. f (6y)

4. g (5)

Mapping & Graphing

Represent the function using mapping and graphing:

1. (-3, 5), (2, 0), (4, -1), (-5, 1)

Graphing Equations

Graph the equations:

1. y = -x + 2

2. y = 2x – 1

3. y = x - 3

3.