On this page, you will find resources to review how to modify (“transform”) and combine functions in various ways to construct new ones, including piecewise-defined functions and rational functions.


Remember that it is up to you to decide how much of the listed resources you need to read or watch, you probably do not need to go through all of it. You might also want to look at the General Study Tips & Tricks page for some recommendations on how to effectively study with a math textbook and videos.

To Read

  1. Read everything up to subsection 0.3.4 (Inverse Functions) of: http://mathquest.carroll.edu/CarrollActiveCalculus/S_0_3_Transformations.html

    and make sure to work on at least the following:

    • Preview Activity 0.3.1
    • Activity 0.3.2
    • Activity 0.3.3
    • Activity 0.3.4
  2. Read all of: http://mathquest.carroll.edu/CarrollActiveCalculus/S_0_6_PowersPolysRationals.html

    and make sure to work on at least the following:

    • Activity 0.6.2
    • Example 0.6.1
    • Activity 0.6.3
    • Activity 0.6.4
    • Activity 0.6.5

To Watch

  • Watch this video which explains how we calculate composite functions to obtain other functions:

  • Watch these two videos which explain how to graph piecewise-defined functions:

  • Watch this short video about the symmetries of even or odd functions:

  • Watch this video about the end behaviour of polynomials:


Charles Fortin Avatar Charles Fortin
Gabriel Indurskis Avatar Gabriel Indurskis


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