Combining Standard Functions With Arithmetic

Deriving Expressions & Processes From Context

Function Composition

Creating Invertible Functions By Domain Restriction

Reading Inverse Function Values From Graphs/tables

Solving Equations & Writing Inverse Functions

Verifying Inverse Functions By Composition

Defining And Recognising Recursive Functions (including Sequences)

Evaluating Functions (excluding Exponential And Trigonometric) At Specific Points

Graphing Polynomial Functions (degree > 2)

Identifying Asymptotes Of Rational Functions When Suitable Factorisations Are Available

Identifying Zeroes Of Rational Functions When Suitable Factorisations Are Available

Producing An Invertible Function From A Non-invertible Function By Restricting The Domain

Solving Problems Involving Comparing Different Classes Of Functions (linear, Quadratic And Exponential)

Solving Real-world Problems Involving Functions (including Modelling)

Using The Horizontal Line Test To Determine Whether An Inverse Of A Function Exists

Graphing Polynomial Functions & Identifying Zeros

Graphing Rational Functions With Zeros & Asymptotes

Graphing Root, Piecewise, Step & Absolute Value Functions

Graphing A Function Using Ordered Pairs (including Relating A Domain Of A Function To Its Graph)

Graphing Piecewise-defined Functions

Graphing Polynomial (excluding Quadratics) Functions

Graphing Rational Functions

Graphing Square Root And Cube Root Functions

Identifying And Reasoning The Effects Of Reflection About Different Lines On Graphs That Are Not Linear Or Quadratic

Identifying And Reasoning The Effects Of Vertical And/or Horizontal Stretches Or Shrinks On Graphs That Are Not Linear Or Quadratic

Identifying And Reasoning The Effects Of Vertical And/or Horizontal Translations On Graphs That Are Not Linear Or Quadratic

Identifying Function Families (among Constant, Linear, Absolute Value And Quadratic)

Identifying/finding Turning Points Of Functions From Their Graphs

Applying The Laws Of Exponents To Interpret Expressions For Exponential Functions

Expressing The Solution Of Exponential Models (ab^(ct) = D) Where The Base Is B As Logarithms Using Technology

Observing That A Quantity Increasing As An Exponential Function Eventually Exceeds A Quantity Increasing As A Polynomial Function

Solving Real-world Problems Involving Exponential And/or Logarithmic Functions (including Modelling)

Understanding And Using The Inverse Relationship Between Exponential And Logarithmic Functions To Solve Problems

Graphing Exponential, Logarithmic & Trigonometric Functions

Graphing Exponential Functions (including Growth/decay), Showing Intercepts And End Behavior

Graphing Logarithmic Functions, Showing Intercepts And End Behavior

Performing Multiple Transformations On Different Exponential/logarithmic Functions (including Writing The Final Function)

Identifying Constant Percent Growth/decay

Proving Growth Patterns In Linear & Exponential Functions

Recognizing Constant Rate Of Change

Interpreting Exponential Functions

Applying The Laws Of Logarithms To Simplify/evaluate Expressions

Identifying And Evaluating Exponential Functions

Proving That Exponential Functions Grow Or Decay By Equal Factors Over Equal Intervals

Recognising Situations And Solving Problems In Which A Quantity Grows Or Decays By A Constant Percent Rate

Constructing An Exponential Function (including Geometric Sequences) From A Description

Constructing An Exponential Function (including Geometric Sequences) From A Graph

Constructing An Exponential Function (including Geometric Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters In An Exponential Function In Terms Of A Context

Arithmetic & Geometric Sequences: Recursive & Explicit

Graphing Linear Functions And Showing Intercepts

Transformations On Absolute Value Linear Functions

Transformations On Linear Functions

Recognising Situations In Which One Quantity Changes At A Constant Rate With Respect To Another Quantity

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Description/equation

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Graph

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters Of A Linear Function In Terms Of A Context

Solving Real-world Problems Involving Quadratic Functions

Using The Process Of Factorisation/completing Square To Find/show Zeroes, Extreme Values And Symmetry On Graphs Of Quadratic Functions

Graphing Linear & Quadratic Functions

Graphing Quadratic Functions (including Showing Intercepts, Maxima Or Minima)

Transformations On Quadratic Functions

Interpreting Quadratic Graphs Via Factoring

Identifying Characteristics Of Quadratic Functions

Writing A Quadratic Function Under Specific Conditions

Graphing The Sine And Cosine Functions (including Transformations)

Understanding And Using The Unit Circle To Extend Trigonometric Functions To All Real Numbers (both Degrees And Radians)