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Functions
Functions - An Introduction
Mapping Functions
Mapping functions
Types of Mapping Relations
Classification of mapping relationships
Concept of Domain and Range
Determining the Range
Determining the range
Using Graphs to Determine Domain and Range
Using Graphs to describe domain and range
Using Sets to Determine Domain and Range
Using Sets to determine domain and range
Classification of Functions
Classification of Functions – using sets
Classification of functions using vertical line test
Function Notation Using Constants and Variables
Function Notation using constants
Function Notation using Variables (Non GDC)
Finding the Range for a Given Domain
Finding the range for a particular domain of a function
Finding the Value of x for a given function
Finding the value of x for a given value of the function
Functions Involving Simultaneous Equations - 2 variables
Functions involving Simultaneous Equations – 2 variables
Functions Involving Simultaneous Equations - 3 variables
Functions involving Simultaneous Equations – 3 variables
Reading Values from a Graph
Reading values from a graph
Using Technology for Functions
Using Technology for Functions
Finding Solutions of Equations
Finding solutions of equations
Test on Functions (Non-Calculator)
Test on Functions (Calculator)
Graphs of Functions
Graphs of functions - Please print for these sums
Graphs of Functions - I
Graphs of Functions - II
Graphs of Functions - III
Graphs of Functions - IV
Graphs of Functions - V
Composite Functions
Composite Functions - Using Constants and Variables
Composite Functions with constants (Non GDC)
Composite functions with Variables (Non GDC)
Composite Functions - Involving 3 Functions
Composite functions involving 3 functions – With Constants
Composite functions involving 3 functions – With Variables
Composite Functions - Choosing Appropriate Functions
Choosing appropriate functions
Test on Composite Functions (Non Calculator)
Absolute Value Functions
Concept of Absolute Value Functions
Absolute Value with Constants
Absolute Value with Constant and Variables
Absolute value with variables (Non GDC)
Solving Equations with Absolute Value
Solving equations with absolute value (Non GDC)
Graphs of Absolute Value Functions
Drawing Graphs of Absolute Value Functions
Drawing Graph of Absolute Value Functions
Determining Equation & Line of Symmetry
Determining the equation of the function
Determining line of symmetry
Test on Absolute Value Functions (Non Calculator)
Reciprocal Functions
Concept of reciprocal functions
Function Notation using constants & Variables
Function Notation using constants
Function Notation using Variables (Non GDC)
Composite reciprocal functions
Composite Functions
Determining the equation of the reciprocal function
Determine the equation of the reciprocal function
Concept of coming close to zero and infinity
Asymptotes with linear functions in the denominator
Determine the equations of the asymptotes – Linear function in denominator
Asymptotes with Quadratic functions in the denominator
Determine the equations of the asymptotes – Quadratic function in denominator
Asymptotes with linear/Quadratic functions in the numerator & denominator
Determine the equations of the asymptotes – Linear/Quadratic function in numerator and denominator
Finding Asymptotes with constant term added to the reciprocal function
Determine the equations of the asymptotes – Adding constant to the reciprocal function
Concept of oblique asymptote
Oblique Asymptote
Determining the domain and range of reciprocal functions
Determining domain and range of reciprocal functions
Finding the range for a restricted domain of a reciprocal function
Finding the range for a particular domain of a function
Parts of a reciprocal function
Parts of a Reciprocal Graph
Reciprocal Functions involving Simultaneous Equations
Functions involving Simultaneous Equations
Root Functions
Root functions - using constants & variables
Function Notation using constants
Function Notation using Variables (Non GDC)
Finding the value of 'x' for a root function
Finding the value of x for a given value of the function
Composite Root Functions
Composite Functions
Determining domain and range for a root function (using graphs)
Using Graphs to describe domain and range
Finding range of a root funciton for a restricted domain
Finding the range for a particular domain of a function
Root function involving simultaneous equations with 2 variables
Functions involving Simultaneous Equations – 2 variables
Root function involving simultaneous equations with 3 variables
Functions involving Simultaneous Equations – 3 variables
Inverse Functions
Concept of inverse functions
Finding the coordinates of the inverse function
Determining the possibility of having an inverse function
Determining the possibility of an inverse function
Identifying the inverse graph
Domain and range of an inverse function
Domain and Range of inverse
Reading values from a graph for an inverse function
Reading values from a graph
Finding the inverse of a Function algebraically
Finding the inverse algebraically
Finding the inverse algebraically for a root function
Finding the inverse algebraically (Root Functions)
Test on Inverse Functions (Non Calculator)
Quadratic Functions
Concept of Quadratic Functions
Checking for quadratic functions (Non- GDC)
Finding the value of y when x is given
Finding the value of y, when x is given
Plotting a Quadratic Function
Finding the value of x when y is given
Finding the value(s) of x, Finding the value(s) of x, when y is given
Determining whether a point lies on a lie & finding missing points
Determining whether a point lies on the function
Finding Missing points/ Unknowns
Determining the x and y intercepts
Determine the y-intercept
Determine the x-intercept
Determining the real roots
Determining the real roots (zeros)
Predicting the shape of a quadratic function
Predicting the shape (Non GDC)
Axis of Symmetry using x-intercepts
Axis of Symmetry (using x – intercepts)
Determining x-intercept when axis of symmetry is given
Determining x-intercept when axis of symmetry is given
Determining Axis of Symmetry from equation
Axis of Symmetry – From Equation
Finding Variables from Axis of Symmetry
Finding Variables from Axis of Symmetry
Determining the Coordinates of the Vertex
Vertex
Changing from General Form to Vertex Form
Changing from general form to vertex form
Parts of a Quadratic Function
Parts of a Quadratic Function
Determination of Equation of a Quadratic Function
Determining the Equation of the Function – x –intercepts and another point
Determination of Equation of a Quadratic Function when Coordinates are given
Determining the Equation of the Function when Coordinates are given
Determination of Equation of a Quadratic Function when Vertex and point are given
Determining the Equation of the Function when Vertex and a Point are given
Determination of Equation of a Quadratic Function from Graph
Determining the Equation of the Function from the Graph
Word Problems on Quadratic Functions
Word Problems - Quadratic Functions
Cubic Functions
Cubic Functions - Concept
Expansions to form cubic functions
Determining the x and y intercepts
Determining the x and y intercepts
Determining Cubic Function from Graph
Determining the cubic function from graph
Determine the graph for the given cubic function
Determining the Equation of the Cubic Function
Determining the equation of the cubic function
Using Unknowns in Cubic Functions
Finding unknowns
Word Problems in Cubic Functions
Word Problems - Cubic Functions
Exponential Functions
Fractional Powers with Constants and Variables
Fractional Powers with Constants
Fractional Power with Variables
Exponential Functions - Concept and Finding the Value
Checking for Exponential Functions
Finding the value of the Exponential Functions
Finding x for a particular value of a function
Finding the value of x for a given value of the function
Graphs of Exponential Functions
Graphs of Exponential Functions (y = ax)
Graphs Involving Vertical Translation
Graphs of Exponential Functions Involving Vertical Translation
Exponential Functions Involving Scale Factors
Involving Scale Factors
Graphs Involving Horizontal Translation
Horizontal Translation
Exponential Functions Involving Reflections
Involving Reflections
Finding Unknowns in Exponential Functions
Finding unknowns in exponential functions
Parts of an Exponential Function
Parts of an Exponential Function
Solving Exponential Equations
Exponential Equations
Solving Exponential Functions Using Technology
Solving Exponential Equations using Technology
Inverse of an Exponential Function
Inverse of Exponential Functions
Domain and Range of Exponential Functions
Domain and Range of Exponential Functions
Problem Solving with Exponential Functions
Problem Solving with Exponential Functions
Finding the Power of a Model
Determine the Equation of the Model (Power Models)
Variation
Variation - Concept
Concept
Word Problems on Variation
Direct Variation
Inverse Variation
Powers in direct variation
Powers in Direct Variation
Powers in Direct Variation – Word Problems
Powers in Inverse variation
Powers in Indirect Variation
Powers in Indirect Variation – Word Problems
Powers in Direct & Inverse variation involving Changes
Powers in Direct and Inverse Variation
Percentage changes in direct & inverse variation
Powers in Direct and Inverse Variation involving Percentage Change
Power Model in Variation
Power Model