2.1: Relations and Functions Perfection is a road, not a destination. Every time you live, you get an education.

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) Domain: {-3, -2, 0, 1, 2 } Range - the set of all outputs of a function (y-coordinates) 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. 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?

Function Notation

Function Notation Ex8) The surface area of a cube is a function of the length of a side of the cube. Write a function for the surface area of the cube. Find the surface area of the cube with a side 2 inches long.

2.1: Relations and Functions HW: 7, 12, 13, 17, 20, 21, 23, 25, 33, 37, 39, 41, 46, 47 Perfection is a road, not a destination. Every time you live, you get an education.