SL AA – Functions

Function Notation

Relationships

Transformations

Composite functions

Reciprocal functions

Function Review

Inverse functions

Graphical solutions

Traffic Light Coding for Unit

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Learning Outcomes
Understanding the concept of a function.
Substitute and solve equations using algebra.
Understand the terms domain and range.
Find the inverse of a function
Understand the terms one-to-one; many-to-one; one-to-many and their applications to functions and inverses.
Graph functions with and without a GDC. Note key points on graphs (intersection with axes, maximum and minimum).
Understand and use composite functions.
Substitute and solve equations using graphs, including composite functions.
Using reciprocal graphs, including finding asymptotes from functions with and without sketches.
Solve intersection of functions using a GDC.
Transformation of functions: reflections in x and y axes; reflection in y=x line; translations; vertical and horizontal stretches.
Using the inverse function and the reflection to solve equations.