Section 5 7 Functions vs Relations I Review

Section 5. 7 Functions vs Relations

I) Review A function is a rule or equation that produces one single out number for every valid input number

II) What is a Relation? A Relation is a rule or equation that produces “One OR More” output number for each valid input number Two output numbers therefore, it is a relation!

III) Difference between Functions & Relations Functions One to One “Functional Marriage” One Husband One wife One to Many Various Types of Relationship A brother Many Sisters A Parent Many Kids An Owner Many Pets All Functions are Relations! NOT All Relations are Functions!

IV) Graphs of Functions and Relations Vertical Line Test Functions will intersect at only one point with Any vertical line on the graph Relations will intersect at one or more points with a vertical line on the graph Relations Functions y 4 3 2 1 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 -4 x

Practice : Indicate which of the following are NOT Functions y 4 3 2 1 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 -4 x x y 4 3 2 1 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 -4 x x

V) Graphing Relations When graphing Relations, make a T. O. V. Plot each point separately Indicate which input numbers are not allowed y 6 4 2 x -6 -4 -2 0 -2 -4 -6 2 4 6

Practice: Graph the Relation & Find the Domain and Range y 6 4 2 x -6 -4 -2 0 -2 -4 -6 2 4 6

Homework: