calc1 Class Table library

WHAT'S A FUNCTION?


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


 

#	Basic/Parent Functions				
	*	* their purposes
	*	* an introduction to functions as a direct consequence of operations, page 10, "Finally ... Functions." It shows how functions compute & work.
		*	see https://www.mathnstuff.com/math/spoken/here/2class/80/math.htm
	*	Library of Functions -  graphs, descriptions, information about specific functions
	*	Precalc & Calc Function Summaries, Summary Worksheets, and Collected Images, graphs
		*	see  https://www.mathnstuff.com/math/spoken/here/2class/300/fx/300fxGraphs/FXallWIDE.jpg
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/300fxGraphs/300fxFULL.pdf
	*	Parent Functions, Their Slope Functions, and Area Functions
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/parents.htm
	*	* their descriptions, domains, ranges, inverses, derivatives, …
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/library.htm
	*	Who Has Games
		*	Lines Of All Kinds Who Has --  Uses instructions which include vertical, horizonal, perpendicular, parallel, slope, intercept.
		*	see https://www.mathnstuff.com/papers/games/whohas/lines.htm					
					
#	Children of the parents created by translation/shifting, reflection/multiplication by a negative				
	*	Curve Shifting because of Addition & Subtraction			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/shift.htm (shift)		
	*	The Creation of New Functions -- Composition			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/comp.htm (compose)		
	*	Summary of some curve shifting, reflections, and other composition as in y = af(bx-c)+d			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/kid.fx.sp24/children.pdf		
	*	Who Has Games & Connect-the-Dots			
		*	Function Curve Shifting Who Has?  (Translations, Rotations, Reflections, Dilations)	
			*	see https://www.mathnstuff.com/papers/games/whohas/shift.htm
					
					
#	Inverse Functions
	*	inverse.gsp -  -- take an inverse of an invertable function, horizontal & vertical line tests, includes arcfunctions 
		*	see /www.mathnstuff.com/math/gsp/sumr19/su19newgsp/inverse.gsp
	*	Important Functions & Their Inverses as a Graph & a Calculator Button 
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/invfn1.gif
	*	Take the inverse of 4 different functions 
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/invfp.htm
	*	Take an inverse function using words or order of operations, graphically, or symbolically 
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/invfn2.gif
	*	Take an inverse algebraically & graphically 
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/invfn4.gif
	*	Take an inverse in Each of the Math Class Language Families	
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/inverse.htm
					
#	More sophisticated functions -created by inverses & by multiplication and/or division of constants and functions	
	*	The Creation of New Functions -- Composition
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/comp.htm
	*	Curve Shifting because of Addition & Subtraction
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/shift.htm
	*	Dilations Create Functions -- Multiplication, Dilation, by A Constant
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/dilat.htm
	*	Dilation Creates Polynomial & Rational Functions
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/detour.htm
	*	Notes on Polynomial Functions -- Multiplication, Roots
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/polyn.htm
	*	Graphing Polynomial Functions -- Multiplication, Roots
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/poly.htm
	*	Graphing Rational Functions -- Division
			*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/rationl.htm
	*	Who Has Games & Connect-the-Dots			
			*	Polynomial Functions Who Has? -- Includes single roots, double roots, concavity, end behavior, reflection about y = 0.	
				*	see https://www.mathnstuff.com/papers/games/whohas/polyfx.htm
			*	Rational Functions Who Has? -- Add a discontinuity, remove a root, change the horizontal asymptote.	
				*	see https://www.mathnstuff.com/papers/games/whohas/rationl.htm
					
					
#	EXPONENTIAL or POWER FUNCTIONS  -- growth is not constant as in y=mx+b, but proportional as in y=ab^x				
	*	Exponential vs Linear Growth			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/linvexp.htm		
	*	A Bit about e, the base of the natural log			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/expofx.htm
	*	Even More About e, the base of the Natural Logs			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/expofx.htm#e
	*	Linear vs Exponential Growth			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/e.htm		
	*	Log Functions  - inverses of exponentials			
	*	 Use of log-log plane and semi-log plane			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/loggraf.htm	
	*	Examples of Logs to Illustrate Characteristics & Mantissas			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/example.htm	
	*	Laws/Rules of Logrithmic Computation and An Opportunity to Experiment with Common Log Computation			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/loglaws.htm	
	*	Use of log-log plane and semi-log plane			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/loggraf.htm	
	*	log-log plane, no axes			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/gif/loglog.gif 	
	*	semi-log plane, no axes			
		*	see https://www.mathnstuff.com/math/spoken/here/2class/340/gif/semilog.gif 	
	*	Height at adulthood based on birth length and percentiles on logistic curve			
		*	see https://www.mathnstuff.com/papers/height.htm		
	*	Who  Has Games & Connect-the-Dots			
		*	 Who Has? Exponential 		
			*	see https://www.mathnstuff.com/papers/games/whohas/expontl.htm
		*	Logarithm Connect-the-Dots		
			*	see https://www.mathnstuff.com/papers/condots/logdots.htm	
			*	see https://www.mathnstuff.com/papers/condots/conpdf/LBELL.pdf
		*	Exponent Connect-the-Dots		
			*	see https://www.mathnstuff.com/papers/condots/exp.htm
			*	see https://www.mathnstuff.com/papers/condots/conpdf/LPHONE.pdf	
		* 	Expand or simplify the log Connect-the-Dots			
			*	see https://www.mathnstuff.com/papers/condots/logbig.htm
			*	see https://www.mathnstuff.com/papers/condots/conpdf/LGBREAD.pdf	
					
					
					
#	Trig functions - cyclic functions most basically based on the central angle of circles and the ration of the length of the side of triangles				
	*	TAN GENTS AND OTHER THINGS OF INTEREST
		*	see https://www.mathnstuff.com/math/spoken/here/2class/330/c33pg00.htm
	*	Interactive Trig Sketch Pad Material
		*	see https://www.mathnstuff.com/math/spoken/here/2class/330/c33pg00.htm#announcement
	*	Spread Sheets -- Dynamic Computation		
		*	see https://www.mathnstuff.com/math/spoken/here/2class/330/c33pg00.htm#xls	
	*	 Angle Measure		
		*	see https://www.mathnstuff.com/math/spoken/here/2class/260/angle.measure.htm
	*	Radians & Sectors Using the radianSector.gsp: Sketchpad, worksheet, answers, video local video,		
		*	see https://www.mathnstuff.com/video/video.htm#radiansector
		*	see https://www.youtube.com/watch?v=dxHrbgIgYz0
	*	Arc and arc functions  		
		*	see https://www.mathnstuff.com/math/spoken/here/2class/330/arc.htm
	*	Connect-the-Dots			
	*	Connect-the-Dots			
	1.	"Dig the Change from Degrees to Radians Connect-the-Dots" ex. 180° = __ rad.		
				*	see https://www.mathnstuff.com/papers/condots/TSHOVEL.pdf
	2.	"Oscar Had A Heap of Apples Connect-the-Dots" ex. easy:  sin (A) of right triangles
				*	see https://www.mathnstuff.com/papers/condots/TAPPLE.pdf
	3.	"Trig Functions of Special Angles (in Degrees) in All Quadrants Connect-the-Dots" -- sin(30°)
				*	see https://www.mathnstuff.com/papers/condots/TCABIN.pdf
	4.	"Writing First Quadrant Trig Expressions Connect-the-Dots" -- sin(350°)
				*	see https://www.mathnstuff.com/papers/condots/TSCISSORS.pdf
	5.	"Slow Is the Way to Go Connect-the-Dots" ex. Find legs & angles of 30-45-60 right triangles
				*	see https://www.mathnstuff.com/papers/condots/TTURTLE.pdf
	6.	"EASIER If It Fits, Wear It --  sin(A) w/terminal side through (-3,4)
				*	see https://www.mathnstuff.com/papers/condots/TSHOE.pdf
	7.	HARDER "Find Sides & Angles of a Right Triangle" - sides, hypotenuse, angles of a right triangle. 
				*	see https://www.mathnstuff.com/papers/condots/TICECREAM.pdf
	8.	"Oscar Reutersvard's Penrose Triangle" -- You Can Draw It. You Can't Build It. -- csc(300°)
				*	see https://www.mathnstuff.com/papers/condots/TNONTRIANGLE.pdf
	9.	"Can't Hold A ___ To You"  -- Easier sin(A) w/Terminal Side through Point (-3, 4) 
				*	see https://www.mathnstuff.com/papers/condots/TCANDLE.pdf
	10.	"2 Hours of Trig" -- Simplify Trig and Arcfunction Expressions, Solve Equations, 
				*	see https://www.mathnstuff.com/papers/condots/2hrA.pdf



[Words] Classes spread sheet notes calc1
© 2009, 2019, 2020, 2021, 2024 Agnes Azzolino
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