This document provides an introduction to functions and key concepts in mathematics HL including: 1. It defines functions as a relation where each element of the domain is assigned to exactly one element of the range. 2. It explains set-builder and interval notations used to describe domains and ranges of functions. 3. It discusses the differences between the domain and range of a function and provides an example of each. 4. It outlines the steps to graph a linear function from its equation including finding satisfying points and connecting them with a straight line.

1. Functions
By: Rakshit Jain
…..A Beginner’s Guide to Math HL Function (:

2. Functions
By: Rakshit Jain
…..A Beginner’s Guide to Math HL Function (:
Table of contents:
1. Functions
2. Set-Builder Notations
3. Interval Notation
4. Linear Graphs
5. Graphing Linear graphs with a restricted
domain

3. What are
_..Functions?
X
A
B
C
D
f(x)
1
2
3
4
Relations

4. … .
….Set-Builder
. ..Notation
0 ≤ X < 4
X ≥ 2
Consider the inequalities:
{ X | ___________ }
{ X | 0 ≤ X < 4 }
{ X | X ≥ 2 }

5. ……...Interval..
…./..Notation
0 ≤ X < 4
Consider the inequality:
[ 0,4 )

6. ...Domain
&
….....Range
Range: The set of all second
elements; dependent variables
Domain: The set of all first
elements of the ordered pair;
independent variable
Domain = { 0, 12, 14, 16, 18 }
Range = { 31, 36, 48, 53, 65 }
X Y
10 31
12 36
14 48
16 53
18 65
Consider the points:

7. ...Linear
…..Functions
y = f(x) = a + bx
1. Find 2 points which satisfy
the equation
2. Plot them
3. Connect the points with a
straight line
Graphing a Linear Function:

8. ...Linear
…..Functions
y = f(x) = a + bx
1. Find 2 points which satisfy
the equation
2. Plot them
3. Connect the points with a
straight line
Graphing a Linear Function: