Free course

Real functions and graphs

Free statement of participation on completion

Sometimes the best way to understand a set of data is to sketch a simple graph. This exercise can reveal hidden trends and meanings not clear from just looking at the numbers. In this free course, real functions and graphs, you will review the various approaches to sketching graphs and learn some more advanced techniques.

Course learning outcomes

After studying this course, you should be able to:

  • understand the definition of a real function
  • use the notation for intervals of the real line
  • recognise and use the graphs of the basic functions described in the audio section
  • understand the effect on a graph of translations, scalings, rotations and reflections
  • understand how the shape of a graph of a function features properties of the function such as increasing, decreasing, even and odd.

You can start this course right now without signing-up. Click on any of the course content sections below to start at any point in this course.
If you want to be able to track your progress, earn a free Statement of Participation, and access all course quizzes and activities, sign-up.

Course content