and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer ...

For example, this graph shows the inequality \(x \textless -1\). This can be seen as there is a dashed line at \(x = -1\), and the region where the \(x\) coordinates are less than -1 is shaded.

to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring ...

Graphically, \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form of \(f(x)\) is useful when applying translations and reflections to graphs.