Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 5

Functions and other graphs (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Define relations and functions, and use function notation
  • Define a relation over 2 sets as an association between the elements of one set to the elements of another set

  • Notate relations as a set of ordered pairs x,y of real numbers

  • Define a function as a relation over 2 sets where each element of the first set is associated with exactly one element in the second set

  • Apply the vertical line test on a graph to decide whether it represents a function

  • Use the notation fx when expressing a function

  • Use the notation fc to determine the value of fx when x=c

Find the domain and range of a function and graph functions
  • Define the domain as the set of all allowable values of x

  • Define the range as the set of possible y-values as x varies over the domain of the function

  • Determine and describe the domain and range for a variety of functions

  • Use graphing applications to graph and compare functions of the form y=fx,  y=fx+c, y=f(x-b), y=kfx and y=fax, and describe their transformations

Graph regions corresponding to linear inequalities in one and 2 variables
  • Graph linear inequalities of the form ax+by>c, testing whether the points satisfy the given inequality and shading appropriate regions

Related files