8:25
Domain & Range
Eddie Woo
3:00
Function Notation
5:13
Functions and Relations
12:36
Odd & Even Functions
7:06
Even Functions - example proof
8:17
Difference of Squares and Cubes
4:48
Linear Equation with No Solution?
5:37
Manipulating Linear, Quadratic & Cubic Identities
6:29
Extraneous Solutions
6:44
Completing the Square: Why and How
5:26
Solving Simultaneous Equations by Elimination
5:47
Solving Simultaneous Equations by Substitution
12:21
Visual Representation of Solving Simultaneous Equations
4:49
What is Absolute Value? (1 of 3: The Simplest Definition)
5:12
What is Absolute Value? (2 of 3: Two Algebraic Definitions)
2:23
Graphing y = |x| from its Algebraic Definition
4:38
What is Absolute Value? (3 of 3: The Geometric Definition)
Finding a Function's Range from its Domain
4:28
Absolute Value Graphs (1 of 2: Understanding Shifts)
7:26
Absolute Value Graphs (2 of 2: Adding Graphs)
6:25
How to Graph |x| + |y| = 1
9:42
Solving Equations w/ Absolute Values Algebraically ("By Cases")
7:08
Factorising Non-Monic Quadratics: 4 Methods
3:48
The difference between “And” & “Or”
10:27
Linear Functions (1 of 2: Simple Forms)
12:40
Linear Functions (2 of 2: Forms Involving Geometric Features)
10:11
Functions & Relations (1 of 2: Introductory Concepts)
6:57
Functions & Relations (2 of 2: Vertical Line Test)
6:27
Ways to Write Domain (& Range)
10:23
Modifying Graphs by Shift, Reflection & Stretch
5:52
Completing the Square (1 of 2: Simple Numerical Example)
6:22
Completing the Square (2 of 2: The Quadratic Formula)
5:17
The Pieces of a Parabola
7:43
Vertex Form of a Parabola (1 of 2: Why it matters)
11:13
Vertex Form of a Parabola (2 of 2: Inductive Derivation)
8:09
Quadratic Functions: What the Discrimant tells you
5:40
Definite & Indefinite Quadratics (1 of 3: The Right Conditions)
8:51
Definite & Indefinite Quadratics (2 of 3: Example Questions)
6:39
Definite & Indefinite Quadratics (3 of 3: Working the Inequalities)
11:39
Deriving the Quadratic Formula
Introduction to Functions (1 of 2: Basic Idea & Formal Definition)
7:17
Introduction to Functions (2 of 2: Examples & Counter-Examples)
8:47
Domain & Range (1 of 2: Definitions)
9:49
Working with Functions (1 of 2: Notation & Terminology)
8:13
Working with Functions (2 of 2: Substituting Variables)
9:57
Domain & Range (2 of 2: Introductory Examples)
11:21
5.3 Functions - Evaluating Expressions with Function Notation
8:33
Introduction to Absolute Value (1 of 2: Definitions)
3:21
Introduction to Absolute Value (2 of 2: Basic Examples)
5:21
Graphing Absolute Value Functions (1 of 2: y = 2(x+1) - |x+1|)
8:21
Graphing Absolute Value Functions (2 of 2: y = |x+1| - |x-2|)
7:22
Absolute Value - Solve |x-1| = |½x+1| (1 of 2: Constructing Graphs)
10:45
Absolute Value - Solve |x-1| = |½x+1| (2 of 2: Interpreting Graphs)
11:00
Equations of Straight Lines (1 of 2: Slope-Intercept Form)
7:28
Equations of Straight Lines (2 of 2: General Form)
12:45
Intro to Real Functions (1 of 4: Relations)
10:47
Intro to Real Functions (2 of 4: Domain & range)
8:30
Intro to Real Functions (3 of 4: Characteristics of a function)
5:01
Intro to Real Functions (4 of 4: Testing & restricting functions)
7:27
Identifying Domain & Range for Unusual Graphs
11:16
Odd & Even Functions (1 of 2: Understanding initial examples)
12:24
Odd & Even Functions (2 of 2: Formal algebraic definitions)
6:07
Definite & Indefinite Quadratics (1 of 2: Using the discriminant)
6:23
Definite & Indefinite Quadratics (2 of 2: Example questions)
6:59
Finding the Domain of a Given Radical Function
7:54
Using the Discriminant (Exam question about points of intersection)
4:29
Solving Absolute Value Equation Example 3x + 2 = |2x - 1|
10:13
Quadratic Factorisation (1 of 3: Overview of Methods)
7:52
Quadratic Factorisation (2 of 3: Translating to a quadratic equation)
Quadratic Factorisation (3 of 3: Interpreting quadratic solutions)
12:59
Algebraic Fractions (1 of 3: Why do they matter?)
7:05
Algebraic Fractions (2 of 3: Example questions)
5:48
Algebraic Fractions (3 of 3: Denominators & restricted domains)
9:12
Problem Solving with Quadratic Equations (1 of 2: Geometry example)
6:38
Problem Solving with Quadratic Equations (2 of 2: Watching for restrictions)
6:15
Simultaneous Equations (1 of 2: By elimination)
11:02
Simultaneous Equations (2 of 2: By substitution)
8:52
Forming Simultaneous Equations (1 of 2: Fast & Slow Walkers)
5:57
Forming Simultaneous Equations (2 of 2: Two Digit Number)
9:47
Domain and Range (1 of 2: Introduction)
9:04
Domain and Range (2 of 2: Examples)
7:13
Classifying Functions & Relations (1 of 2: 1-to-1, Many-to-1)
6:31
Classifying Functions & Relations (2 of 2: 1-to-Many, Many-to-Many)
11:20
Interval Notation (1 of 2: Bounded intervals)
6:24
Interval Notation (2 of 2: Unbounded intervals)
7:44
Graphing Quadratics Equations (1 of 6: Why do we care about them?)
9:03
Graphing Quadratics Equations (2 of 6: Summary of basic features)
7:57
Graphing Quadratics Equations (3 of 6: x & y-intercepts)
10:04
Graphing Quadratics Equations (4 of 6: Visually interpreting background calculations)
7:51
Graphing Quadratics Equations (5 of 6: Considering accuracy & rounding)
7:55
Graphing Quadratics Equations (6 of 6: Locating the vertex)
9:14
Graphing Parabolas via Transformation (1 of 2: Rearranging algebraically)
8:04
Graphing Parabolas via Transformation (2 of 2: Thinking visually)
12:01
Graphing Cubic Functions (1 of 4: Considering y = x³)
9:09
Graphing Cubic Functions (2 of 4: Vertical translation)
9:56
Graphing Cubic Functions (3 of 4: Factored form)
10:00
Graphing Cubic Functions (4 of 4: Geometric features)
11:22
Simultaneous Linear/Quadratic Equations (1 of 2: Considering a line & parabola)
10:19
Simultaneous Linear/Quadratic Equations (2 of 2: Varying numbers of solutions)
8:23
Graphing Circles (1 of 4: Review of functions)
Graphing Circles (2 of 4: Centering on the origin)
9:06
Graphing Circles (3 of 4: Other centres/radii)
10:39
Graphing Circles (4 of 4: Completing the square)
11:14
Equation of a Semicircle
10:07
Absolute Value Equations & Inequalities (1 of 4: Visualising an equation)
Absolute Value Equations & Inequalities (2 of 4: Visualising the inequality)
Absolute Value Equations & Inequalities (3 of 4: Separate intervals)
8:41
Absolute Value Equations & Inequalities (4 of 4: Graphing to avoid unnecessary algebra)
Reflecting Functions (1 of 3: Setting up an example)
7:56
Reflecting Functions (2 of 3: What happens when we graph f(-x)?)
5:16
Reflecting Functions (3 of 3: What happens when we graph -f(x)?)
9:13
Function Symmetry (1 of 4: Overview & definitions)
Function Symmetry (2 of 4: Why are they called "odd" & "even"?)
Function Symmetry (3 of 4: Combining symmetries)
12:13
Function Symmetry (4 of 4: Differentiating an odd function)
14:07
Introduction to Functions