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Unit C Concept 4: Composing Functions

Unit C Concept 4: Composing Functions

Author: Crystal Kirch


Composing functions (including variables and values)


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Compose a symphony...



But not of music!  Of expressions!  Because we all know that's the best type, right? (That's why we are taking Math Analysis Honors!).

Composition of functions is all about putting functions within other functions.  We will do this in lots of different ways.  Hope it's fun! :)


To remind you:

Even though you may be saying, "Oh yeah, I got this"... PLEASE PLEASE PLEASE make sure to FULLY understand the details of this concept. It's MORE than just solving the problems in Math Analysis...

YOU MUST BE ABLE TO SOLVE, EXPLAIN YOUR THOUGHT PROCESSES, AND MAKE CONNECTIONS among these concepts that you have seen as "so easy" in the past.

Start yourself on the right path by taking even these "beginning concepts" seriously!



This video will begin the process of "composing" functions by doing regular, one-step composition of functions.

Source: Created by Crystal Kirch using Camtasia for Mac


Let's continue to compose functions by doing "double evaluation" problems!

Source: Created by Crystal Kirch using Camtasia for Mac


Our last look at composition problems by looking at double evaluation problems!

Source: Created by Crystal Kirch using Camtasia for Mac

SSS Requirements


Before moving on, please make sure the following problems from your SSS are complete and correct, as based on what I went over in the video. 


Page 5 #1-7

Page 6 #8-11

Practice Quiz (PQ) requirements


Before moving on, please complete the following PQ problems on your own.

  • These problems must be done on lined paper and labeled clearly with “Unit ___ Concept ___ Practice Quiz” at the top of each page.  PLEASE HIGHLIGHT THIS TITLE SO IT IS VERY CLEAR WHERE ONE ASSIGNMENT STARTS AND ENDS. 
  • You must show all work, all steps, and all thought processes for these assignments.  If you feel like you don’t need to show any work, you must explain your thought process in a few sentences.  No step by step work = no credit.
  • You must check your answers to the PQ problems (answers are on the last page of each SSS packet) and re-work through any problems you got wrong.

You must MASTER this material, so if you are getting them wrong, you need to figure out how to do them correctly.  Please contact me if you have a question (you can add a question at the end of this tutorial) and I can work out another example video for you.


​PQ 4 #1-6

Unit C Reflection (Concept 4)

Please answer questions posed below correctly and completely.
You MUST re-watch the video if you don't know the correct answer.

Completely means:

1) Complete sentences
2) Detailed answers

Source: Created by Google Docs