Course Materials
Lessons
Relations and Functions
- Video - Vertical Line Test (9:37)
- Video - One-to-One Relations (2:02)
- Video - One-to-Many Relations (1:56)
- Video - Many-to-One Relations (1:50)
- Video - Many-to-Many Relations (2:21)
- Video - Functions and Vertical Line Test (3:13)
- Video - Checking Functions using Ordered Pairs (3:31)
- Video - Checking Functions using Graphs (9:43)
Domain and Range
- Video - Definition of Domain and Range (4:11)
- Video - Finding Domain and Range (9:02)
- Video - Range of Squares (7:21)
- Video - Domain and Range by Graphs (7:16)
- Video - Domain and Range of Functions (6:53)
- Video - Domain and Range of Functions involving Asymptotes (5:12)
- Video - Domain and Range of Surds (7:03)
- Video - Domain and Range of Logarithmic Graphs (1:16)
- Video - Domain of Sum of Two Functions (3:41)
- Video - Restricting the Domain of Cubic Polynomials (4:22)
- Video - Quadratic Graphs: Ranges (9:20)
- Video - Range of x^2 (4:50)
- Video - Range of Reciprocal of Quadratic Expressions (5:37)
Composite Functions
- Video - Combining Functions (5:25)
- Video - Composite of Functions (4:39)
- Topic - Composite of Linear Functions 1
- Topic - Composite of Linear Functions 2
- Topic - Nested Composite of Linear Functions 1
- Topic - Nested Composite of Linear Functions 2
- Topic - Composite of Quadratic Functions and Linear Functions 1
- Topic - Composite of Quadratic Functions and Linear Functions 2
- Topic - Nested Composite of Quadratic Functions 1
- Topic - Nested Composite of Quadratic Functions 2
- Topic - Composite Functions of Ordered Pairs 1
- Topic - Composite Functions of Ordered Pairs 2
- Topic - Composite Functions of Ordered Pairs 3
- Topic - Composite Function Equations
- Topic - Composite of Linear and Square Root Functions
Sketching Linear Graphs
- Video - Graphing Linear Equations using Intercepts (3:25)
- Video - Graphing Linear Equations using Gradients 1 (3:24)
- Video - Sketching Straight Lines using Gradients (4:26)
- Video - Sketching Straight Lines using Intercepts (6:03)
- Video - Straight Line Graphs in Positive Gradient Passing Origin (4:02)
- Video - Straight Line Graphs in Negative Gradient Passing Origin (3:02)
- Video - Straight Line Graphs in General Form Passing Origin (3:14)
- Video - Straight line Graphs in Positive Gradient by x- and y-intercepts (4:07)
- Video - Straight line Graphs in Negative Gradient by x- and y-intercepts (2:47)
- Video - Straight line Graphs in General Form by x- and y-intercepts (1:58)
Reciprocal Functions
- Video - Reciprocal Graphs (5:31)
- Video - Reciprocal Graphs of Irrational Functions (1:37)
- Video - Reciprocal Graphs of Modulus Functions (0:48)
- Video - Reciprocal Graphs of Natural Exponential Functions (1:01)
- Video - Reciprocal Graphs of Natural Logarithmic Functions (0:30)
- Video - Reciprocal Graphs of Inverse Tangent Functions (1:45)
- Video - Reciprocal Graphs of Given Initial Graphs (2:52)
- Video - Reciprocal Graphs of Parabola (5:11)
Further Graphs of Basic Power Functions
- Video - Graphs of Even Power (4:49)
- Video - Graphs of Odd Power (1:51)
- Video - Graphs of Rational Power 1 by 3 and 1 by 5 (1:35)
- Video - Graphs of Rational Power 2 by 3 and 2 by 5 (3:59)
- Video - Graphs of Rational Power 4 by 3 and 8 by 5 (1:26)
- Video - Graphs of Rational Power 1 by 2 and 1 by 4 (1:30)
- Video - Graphs of Rational Power 3 by 4 and 5 by 6 (1:15)
- Video - Graphs of Rational Power 3 by 2 and 7 by 6 (1:30)
- Video - Graphs of Power Functions Given Initial Graphs (6:44)
Exponential Graphs
- Video - Introduction to Exponential Graphs (5:05)
- Video - Basic Exponential Graphs (5:18)
- Video - Transformation of Exponential Graphs (4:57)
- Video - Exponential Graphs Dilation from the x-axis (3:07)
- Video - Exponential Graphs Dilation from the y-axis (2:40)
- Video - Exponential Graphs Dilation from the base (1:44)
- Video - Translation of Exponential Graphs (2:40)
- Video - Reflection of Exponential Graphs (1:58)
- Video - Graphs of Exponential Curves (6:20)
- Video - Transformation of Exponential Curves x-axis and y-axis (1:23)
- Video - Translating Graphs of Exponential Functions (3:05)
Finding Equations for Graphs of Exponential Functions
- Video - Finding Equations for Graphs of Exponential Functions (6:13)
- Topic - Equations of Exponential Graphs 1
- Topic - Equations of Exponential Graphs 2
- Topic - Equations of Exponential Graphs 3
- Topic - Equations of Exponential Graphs 4
- Topic - Equations of Exponential Graphs 5
- Topic - Equations of Exponential Graphs 6
- Topic - Equations of Natural Exponential Graphs 1
- Topic - Equations of Natural Exponential Graphs 2
- Topic - Equations of Natural Exponential Graphs 3
- Topic - Equations of Natural Exponential Graphs 4
- Topic - Equations of Natural Exponential Graphs 5
- Topic - Equations of Natural Exponential Graphs 6
Further Graphs of Exponential Functions
- Video - Understanding Exponential Graphs (1:53)
- Video - Transformations of Exponential Graphs where Base > 1 (2:01)
- Video - Transformations of Exponential Graphs where Base < 1 (0:52)
- Video - Translations of Exponential Graphs (2:38)
- Video - Even Powers of Natural Exponential Graphs (0:23)
- Video - Odd Powers of Natural Exponential Graphs (0:16)
- Video - Square Root of Natural Exponential Graphs (0:15)
- Video - Shapes of Natural Exponential Graphs (0:53)
- Video - Natural Exponential Graphs involving Quadratics (1:02)
- Video - Graphs of Natural Exponential Functions Given Initial Graphs (8:35)
- Video - Natural Exponential Graphs involving Square Root Functions (0:24)
- Video - Natural Exponential Graphs involving Natural Log Functions (0:32)
- Video - Natural Exponential Graphs involving Sine Trig Functions (0:34)
Relations and Their Inverses
- Video - Introduction to Inverse Relations (5:36)
- Video - Inverse of Ordered Pairs (0:39)
- Video - Inverse of Linear Expressions (1:51)
- Video - Inverse of Hyperbolic Expressions (2:28)
- Video - Inverse of Even Expressions (2:19)
- Video - Inverse of Odd Expressions (0:45)
- Video - Inverse of Surd Expressions (2:32)
- Video - Inverse of Quadratic Expressions using Completing the Square (2:45)
