# R00505 Functions and Relations

Goals

Exercises

Goals

 Functions Overview was difficult because it carried the whole volume of Grade 11 with it. Here is an easy lecture.  Relations define a relationship between input variables and output variables. For and relation to be called a function there can be only one output variable - y for every input variable -x There are two types of functions One - to - One Many - to  - One We use a Vertical Line test to test that the graph only touches the vertical line once - a function. More than once - not a function We use the  Horizontal Line Test to test that the graph only touches the horizontal line once - a one-to-one function. More than once -  a many-to-one function You must be able to identify the Domain and Range of each function or relation

 Siyavula The Maths Page Functions Mathplanet Kahn Exam Solutions..... Functions and Relations Varsity Tutors Maths is Fun Functions Wolfram Mathworld Mathworks FreeMathHelp What are Functions Purple Math Functions and Relations Meta Calculator # Exercises

Do the exercises on paper BEFORE looking at the answers

 BBC Functions Part 1 - Test   Functions Part 2 - Test Exercises