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    Precalc Notes

Functions, Vocabulary     Quadratic Functions Exponent & Log Laws
Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle"
Calculator Resources Rationals Trig Functions, "Unit Circle & On"
Lines Log & Exponential Functions     Trig Cheat Sheet

library Functions -- Basic Functions, Common Features, Vocabulary

Instant Reference Material:
Graphs of "all" functions     Summary of "all" functions 
Library of Functions     Symbols & words in gif format
Function Note Cards animation     web page     flash cards

 Function Vocabulary     Use the button at the left for vocabulary information.

ASYMPTOTE definition
COMPOSITION -- Composition of Functions
CURVE SHIFTING -- Curve Shifting because of Addition & Subtraction of Functions
DILATION
      dilation of a function ,
      Dilation creates functions ,
      dilation by a constant animation
DOMAIN
END BEHAVIOR behavior definition increasing/decreasing,
FUNCTIONs are dependable, sophisticated operations
GRAPHING
      by INSPECTION of function
      by POINT-PLOTTING
INVERSE FUNCTIONS
      Inverse Notes: inverse functions: verbally, analytically, algebraically ,
      Inverse Problems
      Take An Inverse In 4 Language Families
IDENTITY, OPPOSITE, RECIPROCAL -- the most important functions
Intercepts/Roots/Factors Vocabulary & Images
INTERCEPTS
LEADING COEFFICIENT
ODD/EVEN functions by definition
     Images
      odd/even/neither functions viewed w/a smile
      odd by definition
      even by definition
RANGE
RATIONAL
REAL
PERIOD
SLOPE SONG
SOLVING EQUATIONS GRAPHICALLY
SYMMETRY definition
SYNTHETIC DIVISION
TRANSENDENTAL
ZEROS
sketchpad
Sketch Pads -- Dynamic Analytic Geometry
    Functions, Lines
  • graphs  -- 1 or 2 graphed functions ready to edit
  • absolute value  -- |x|, functions controlled by parameters and NOT controlled by parameters
  • squaring, parabola   -- Multi page: 2 parabolas: 1 in general form, 1 in standard forms, ...
  • square root   -- 2 square root functions defined by easy-edit parameters
  • line   -- slide points A and B and generate equation of the line in 4 forms.
  • reciprocal, 1/x, etc.   -- reciprocal functions
        * VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER!
  • piece-wise   -- graphs a piecewise defined function when left function and right function
  • greatest integer function, [[x]] -- also a[[bx+c]] + k
  • composite functions  -- build 2 functions using other functions
  • inverse -- take an inverse of an invertable fdunction, horizontal & vertical line tests
     
  • parentFX   -- function "manipulatives"
  • parentFX2   -- revised function "manipulatives"
Games or Manipulatives
"Math Exercises" -- whole body graphing
Who Has? Lines Game Cards
Who Has? Curve Shift

Functions, Vocabulary     Quadratic Functions Exponent & Log Laws
Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle"
Calculator Resources Rationals Trig Functions, "Unit Circle & On"
Lines Log & Exponential Functions     Trig Cheat Sheet

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2/2020, A. (A2) Azzolino
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