# Linear, Polynomial and Rational Functions

### Linear Functions

### Video

This video from the *maths support centre SUMS at NUI Galway* introduces linear functions and shows how to rewrite a linear equation as a linear function.

Note: All *SUMS NUIG* content is available for free at www.nuigalway.ie/public-sites/s-u-m-s .

### Notes

These notes from mathcentre go into more detail on linear functions and show how to manipulate linear equations. Try the exercises on page 5 to get some practice.

A pdf of this document can be downloaded here.

### Interactive Exercises

Use the GeoGebra graphing calculator below to plot the functions encountered in the above notes. Make up some linear functions of your own and see what the graphs look like.

Please click here to view this calculator in another window.

### Polynomial Functions

### Video

This video from *Khan Academy* gives an introduction to polynomial functions and explains the terminology used to describe polynomials.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Notes

These notes from HELM (pages 63-65) go into more detail on polynomial functions. Try the exercises included to get some practice.

A pdf of this document can be downloaded here.

### Interactive Exercises

Use the GeoGebra graphing calculator below to plot the graphs of the polynomial functions encountered in the previous notes. Make up some polynomial functions of your own and see what the graphs look like.

Please click here to view this calculator in another window.

### Rational Functions

### Video

This video from *Professor Dave Explains* gives an introduction to rational functions, asymptotes and how to plot the graphs of rational functions.

Note: All *Professor Dave Explains* content is available for free at www.youtube.com/professordaveexplains.

### Notes

These notes from HELM (pages 66-71) are a resource for rational functions. Try the exercises provided to test your understanding.

A pdf of this document can be downloaded here.

### Interactive Exercises

Use the GeoGebra graphing calculator below to plot the graphs of the rational functions encountered in the previous notes. Make up some rational functions of your own and see what the graphs look like.

Please click here to view this calculator in another window.