7.2 Functions Lesson #7.2 Pg. 465

We have learned about Relations How to represent Relations Coordinates https://www.youtube.com/watch?v=sE4eq0cjLFk http://www.youtube.com/watch?v=VUTXsPFx-qQ We have learned about Relations Coordinates (x, y) How to represent Relations Graph (x, y) – Coordinates Table T – Chart Mapping Diagram X Y (each coordinate) X Y Inputs Outputs Independent Dependent Domain Range Horizontal Axis Vertical Axis

A function is a special type of relation that pairs each domain value with EXACTLY ONE range value. Every function is a relation But not all relations are functions.

Identifying Functions Give the domain and range of the relation. Tell whether the relation is a function. Explain. {(3, –2), (5, –1), (4, 0), (3, 1)} D: {3, 5, 4, 3} R: {–2, –1, 0, 1} The relation is not a function. Each domain value does not have exactly one range value. The domain value 3 is paired with the range values –2 and 1.

Identifying Functions Give the domain and range of the relation. Tell whether the relation is a function. Explain. –4 2 –8 1 4 5 D: {–4, –8, 4, 5} R: {2, 2, 1, 1} This relation is a function. Each domain value is paired with exactly one range value.

D: {–6, –4, 1, 8} R: {2, 1, 2, 9} D: {2, 2, 3, 4} R: {–5, –4, –3} Try This! Give the domain and range of each relation. Tell whether the relation is a function and explain. a. {(8, 2), (–4, 1), (–6, 2),(1, 9)} b. D: {–6, –4, 1, 8} R: {2, 1, 2, 9} D: {2, 2, 3, 4} R: {–5, –4, –3} The relation is a function. Each domain value is paired with exactly one range value. The relation is not a function. The domain value 2 is paired with both –5 and –4.

Function Notation We will utilize equations Such as…. But in function notation it will look a little different We will be solving for , the “y”, to get a coordinate for graphing.

Function Notation You may be asked to substitute or fill out a “T” chart table Substitution T - Chart You choose your inputs if not given to you in the question

Homework Pg. 469 CC: 1-7, 12-13 HC: 1-13