January 27

section covered in text
1.1. Four Ways to Represent a Function
 

objective
to understand the four different ways of representing functions
 

key ideas and/or vocabulary
function, domain, range, value of f at x, independent variable, dependent variable, vertical line test, piecewise defined functions, absolute value, even functions, odd functions, increasing functions, decreasing functions

    representation of functions

solved problems-using key ideas
#12.  verbal and graphical representation of a function, independent and dependent variables, domain, range
#15.  piecewise defined function
#16.  different functions defined on the same independent variable t
#17.  numerical representation of function
#20.  algebraic representation
#22.  defining  f on 2+h and x+h   *important
#34.  piecewise function with graphing calculator
#46.  algebraic representation, domain
#49.  algebraic representation for verbal description - this is typical of future problems
#51.  as in #49, piecewise function

group work
none

announcements
Homework: #2,8,10,18,32,52,56  (due 2/5)
Read Getting Started in graphing calculator documentation
 
 
 
 
QUESTION OF THE DAY
Can you put the tip of your pencil on one end of the graph of this function and trace along it until you reach the other end without picking up your pencil?
  SOLUTION

 

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SOLUTION.  No, you can't.  The graph of the function is shown below.
This was plotted with a TI-86 in a window of size [-2,5]x[-2,6].

 
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