Monday, September 15, 2008
Intro to Calculus (Class 7)
Lesson Title
What breaks a function?
Overview
The warm-up for today continues with interpreting graphs with a few additional practice problems thrown in. We will then finish the lesson for HW 4 by examining what it takes to break a function thereby determining the domain of the function by implication. We will then turn our attention to
Textbook Sections
N/A
Vocabulary
function
domain
Key Attitudes
Math is about thinking creatively.
Key Ideas
Function notation is a different form of representing relationships between quantities. This is not a new idea, just a new way to represent an idea (equations) which you have been dealing with for a long time.
Not all relationships are functions. A relationship is a function if and only if for any x-value in the domain of the function there is only one corresponding y-value.
Three ways to determine if a relationship is a function: graphs, tables of values, equations.
The domain of a function are the values which do not “break” the function.
Key Skills
I can evaluate a function given a numeric value or another function
I can write an algebraic formula for a function described in English.
I can determine if a graph, table of values, map diagram, or equation represents a function.
I can determine the domain of a function algebraically.
I can create a function to represent a situation.
Turn-In (#6)
HW 4 as much as you are able to do. I will not be collecting this next class.
Handouts
Intro to Calc- Workshop 2
Assignment
Finish HW #4
Work on WS 2 with your group if possible.
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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