HL AI – Functions

Function Notation

Make your own copy and share with your students.

Understanding the concept of a function.

Substitute and solve equations using algebra.

Understand the terms domain and range.

Find the inverse of a function, including the reflection of a function and its inverse.

Graph functions with a GDC. Note key points on graphs (intersection with axes, maximum and minimum).

Graphing linear, quadratics and cubic functions.

Substitute and solve equations using graphs, including composite functions.

Solve intersection of functions using a GDC.

Apply knowledge of functions to create and understand models.

Understand direct and inverse proportion.

Recognise appropriate models and their parameters.

Understand piecewise functions.

Understand and use composite functions.

Substitute and solve equations using graphs, including composite functions.

Transformation of functions: reflections in x and y axes; reflection in y=x line; translations; vertical and horizontal stretches.