2.1: Relations and Functions 2.2: Linear Equations

Relation Ex1) Graph the coordinate points: (–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2) A relation is a set of pairs of input (x) and output (y) values. Written: {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}.

Relation {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)} Domain – the set of all inputs of a function, x-coordinates, independent variable Domain: {-3, -2, 0, 1, 2 } Range - the set of all outputs of a function, y-coordinates, dependent variable Range: { -2, 2, 3, 4 }

Relation Ex2) Write the ordered pairs for the relation. Find the domain and range.

Mapping Diagrams Ex3) {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}. Domain Range

Functions A function is a relation in which each input value is paired with only one output value. Range (BIRTHDAY) Domain (YOU)

Functions A function is a relation in which each input value is paired with only one output value. Domain Range Domain Range 2 3 4 7 5 6 8 -2 5 -1 3 4 Function? Function?

Vertical Line Test Vertical Line Test: If a vertical line passes through at least two points on the graph, the relation is not a function. Ex4) {(-2, -1), (0, 3), (-2, 3), (5, 4)} Ex5) {(3, 6), (2, 6), (7, 8), (4, 5)}

Vertical Line Test Ex6) Are these relations functions? If so, describe the domain and range

Function Notation

What is Slope??

Slope

Slope (cont.) What does it mean if the slope is zero? What does it mean if the slope is Undefined?

Homework #9: Pg 59 #1-29 odd Pg 67 #11-19 odd 2.1: Relations and Functions 2.2: Linear Equations Homework #9: Pg 59 #1-29 odd Pg 67 #11-19 odd