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Section 1.4 - Building Functions from Functions

Picture

Essential Question(s): 

How does composition of functions affect domain and range?


Follow these four steps to complete this "flip" lesson.
STEP 1: Title your spiral with the heading above and copy the essential question(s).

STEP 2: Copy and define the following groups of vocabulary using your textbook glossary. This can be any tables, properties, theorems, terms, phrases or postulates listed. The vocabulary is grouped with specific examples.
Group 1 Vocab
  • What are the sum, difference, product and quotient of functions?(pg 117)
Group 2 Vocab
  • What is a composition of functions? (pg 118)
Group 3 Vocab
  • What is a relation? (glossary)
Group 4 Vocab
  • What does implicitly mean? (pg 123)
STEP 3: Read the following page and take any extra notes as needed. Copy the following example(s) from the textbook AFTER their designated Vocabulary Group.
Group 1 Example(s)
  • How do you define new functions algebraically? (Ex 1 pg 118)
Group 2 Example(s)
  • Read example 2 on pg 119 (Take notes as needed)
  • How do you find the domain of a composition? (Ex 3 pg 120)
  • How do you decompose a function? (Ex 4 pg 121)
Group 3 Example(s)
  • How do you verify pairs in a relation? (Ex 6 pg 122)
Group 4 Example(s)
  • How can you use implicitly defined functions? (Ex 7 pg 123)
  • Read pages 117-123 and then move onto step 4
“Any fool can know. The point is to understand.” 
― Albert Einstein
​“Learning never exhausts the mind.” 
― Leonardo da Vinci
​"You never fail until you stop trying.” 
― Albert Einstein
RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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