To BePrinted ProjectsTasks PossibleProjects SortedFall 2022

## Precalc Notes

 Equation solving calculator   https://www.symbolab.com/solver/equation-calculator/
 Graphing Tool   https://goodcalculators.com/graphing-calculator/
 Applications Calculator   https://goodcalculators.com/
 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

## 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
 Sketch Pads -- Dynamic Analytic Geometry Functions, Lines Cartesian History htm graphs  -- 1 or 2 graphed functions ready to edit line   -- slide points A and B and generate equation of the line in 4 forms. 2 graphs gsp circle, tangent, normal gsp circle formula gsp angle of elevation gsp 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 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
 © 1/2023, A. (A2) Azzolino www.mathnstuff.com/math/precalc/pnotes.htm