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Topic: Graph of a function

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	Graph of a function article - Graph of a function function Cartesian plane closed graph theorem functional analysis - ... (Site not responding. Last check: 2007-11-07)
		In mathematics, the graph of a function is the collection of all pairs (x, f(x)) of the function.
		For general functions, the graphic representation cannot be applied and the formal definition of the graph of a function suits the need of mathematical statements, e.g., the closed graph theorem in functional analysis.
		The concept of the graph of a function is generalised to the graph of a relation.
	www.what-means.com /encyclopedia/Graphs (259 words)

	Graph - Wikipedia, the free encyclopedia
		In graph theory, a graph is an abstract object consisting of vertices (or nodes) and edges (or arcs) between pairs of vertices.
		The graph of a relation, a generalisation of the graph of a function.
		In computer science, a graph is a data structure representing mathematical graphs.
	en.wikipedia.org /wiki/Graph (153 words)

	Functions 1 - maths online Gallery
		is a dynamical diagram that ilustrates the connection between the notion of a function as a mapping and its geometrically intuitive representation as a curve in the plane.
		It is also suitable as a repetition before introducing the derivative (see the applet On the definition of the derivative).
		The plotter provides brief orientation about the form of graphs, as well as high accuracy determination of the position of interesting points (like zeros of a function or intersection points of graphs).
	www.univie.ac.at /future.media/moe/galerie/fun1/fun1.html (328 words)

	Graph of Function and Derivative (Site not responding. Last check: 2007-11-07)
		This tutorial displays the graph of the derivative of a function directly beside the graph of the function, for the sake of comparison.
		Students often expect the derivative of a function to be positive where the function itself is positive and for the derivative of a function to be negative where the function itself is negative.
		Also, where the function is increasing, and where the derivative is positive, the graphs are drawn in red.
	kerbaugh.uncfsu.edu /derivative/derivative.html (597 words)

	BC Education - Calculus 12 - Applications of Derivatives (Derivatives and the Graph of the Function)
		the relationship among graphs of the 1st, 2nd derivatives of a function and the function
		Ask the students to sketch a cubic graph and determine what the slopes of the tangent line would be at the local maximum and minimum points.
		a graph is appropriate to the function it is supposed to represent
	www.bced.gov.bc.ca /irp/math1012/calc12ddgf.htm (569 words)

	Graph of a function - Wikipedia, the free encyclopedia
		In mathematics, the graph of a function f(x
		In particular, graph means the graphical representation of this collection, in the form of a curve or surface, together with axes, etc. Graphing on a Cartesian plane is sometimes referred to as curve sketching.
		Multi-purpose software that can be used for function plotting
	en.wikipedia.org /wiki/Graph_of_a_function (261 words)

	Function Grapher Online
		Currently under development: A standalone application version of this Function Graphing Program, written in C language, much faster, essentially more capabilities, e.g.
		Grouping symbols such as parentheses, and helper functions may be arbitrarily deeply nested.
		The function plotter engine follows the common rules of math.
	www.walterzorn.com /grapher/grapher_e.htm (449 words)

	The Inverse of a Function Investigation
		The function is defined by the fl equation and graph and the function's inverse is defined by the red equation and graph.
		Adjust the sliders, and observe the equations of the function and its inverse.
		The fl point is a point on the graph of the original function and the red point is a point on the graph of the function's inverse.
	www.saskschools.ca /curr_content/mathb30/poly_rat/les10/notes.html (220 words)

	graph_analysis.html
		While Maple can easily create a plot of the graph of a function from the formula, important information about the graph of a function often requires tools from calculus and algebra.
		When the formula for a function becomes complex, it may be impractical to calculate the derivatives and their roots by hand.
		In analyzing the graph of a function one often wants information about the sign of either the function or one of its derivatives.
	www.math.uga.edu /calclab2200/graph_analysis1.html (709 words)

	Arnab's Graph Explorer
		Graph Explorer is a tool to produce interactive methematical graphs.
		Graph Explorer actually has a sophisticated system of defining functions to plot, which lets you use variables or call other user defined or mathematical functions.
		Rewrote function codes using RPN concept, which is much faster (especially for complecated functions).
	www.geocities.com /hirak_99/goodies/graph.html (595 words)

	A REVIEW OF LOGARITHMS
		The graph of f(x) crosses the x-axis at 1, and the graph of g(x) crosses the x-axis at -1.262452, rounded to -1.3 for graphing purposes.
		The graph of f(x) is located in quadrants I and IV The graph of g(x) is also located in quadrants I and IV.
		The graph of f(x) crosses the x-axis at 1, and the graph of g(x) crosses the x-axis at 83.74466.
	www.sosmath.com /algebra/logs/log4/log42/log42209/log42209.html (632 words)

	MathGraphs.com
		P.PS, Exer 4, Sketching the graph of a function
		1.5, Exer 57, Using the graph of a function to sketch a...
		3.3, Exer 43, Sketching the derivative of a function
	www.mathgraphs.com /mg_clc7e.html (995 words)

	Graphs greatness (Site not responding. Last check: 2007-11-07)
		Graph Theory is the branch of mathematics that involves the study of graphs.
		Conceptual graphs (CGs) are a system of logic based on the existential graphs of Charles Sanders Peirce and the semantic networks of artificial intelligence.
		In the branch of mathematics called Graph Theory, a graph bears no relation to the graphs that chart data, such as the progress of the stock market or the growing population of the planet.
	www.thingsthatstartwithg.com /graphs.html (837 words)

	mathematics graph (Site not responding. Last check: 2007-11-07)
		Graph theory is the branch of mathematics that examines the properties of graphs.
		Graph -- from MathWorld Graph -- from MathWorld The word "graph" has (at least) two meanings in mathematics.
		In elementary mathematics, "graph" refers to a function graph or "graph of a function," i.e., a plot.
	learning-gd.com /articles/276/mathematics-graph.html (201 words)

	[No title]
		A LiveMath notebook that draws the graph of a function and its derivative.
		A LiveMath Notebook that draws the graph of a function and its second derivative.
		Quiz on determining which graph is the graph of a function, its derivative and its 2nd derivatives.
	archives.math.utk.edu /visual.calculus/3 (575 words)

	Question Corner -- How To Graph The Inverse Of A Function
		It is actually easier to graph the inverse of a function than it is to solve for it.
		These are the same as the points on the graph of f but with the order of the coordinates interchanged: instead of plotting (x,f(x)) for various numerical values of x, we plot (f(y),y) for various numerical values of y (which is the same thing as plotting (f(x),x) for various numerical values of x).
		Thus the graph which we constructed in this method is not really the graph of a function, since the value of the inverse of f(x) is not well defined at 4 (it could either be 2 or -2).
	www.math.toronto.edu /mathnet/questionCorner/inversegraph.html (453 words)

	[No title]
		Sketch the graph of the function EMBED Equation.DSMT4 .
		Find the point on the graph of the function whose x-coordinate is 2.
		Find the point on the graph of the function whose y-coordinate is 2.
	www.selu.edu /Academics/Faculty/kli/m161r3s2.doc (255 words)

	1.4: Graphs of Functions
		A graph of a function is a picture of the set of ordered pairs (x,f(x)) or (x,y) of the function.
		A relative minimum is the part of the graph at which a function changes from decreasing to increasing.
		A relative maximum is the part of the graph at which a function changes from increasing to decreasing.
	www.msu.edu /~osstutor/14_s_103.htm (588 words)

	MathGraphs.com
		3.3, Exer 55, Sketching the derivative of a function
		3.3, Exer 56, Sketching the derivative of a function
		3.4, Exer 57, Sketching the graph of a function
	www.mathgraphs.com /mg_calc8e.html (1345 words)

	A REVIEW OF LOGARITHMS
		The graph of f(x) - 8 is the graph of f(x) shifted down 8 units.
		The graph of g(x) does not cross the y-axis; therefore, the graph of g(x) has no y-intercept.
		If we knew that the point (c, d) is located on the graph of f(x), we can conclude that the point (c, d - 5) is located on the graph of g(x).
	www.sosmath.com /algebra/logs/log4/log42/log42202/log42202.html (680 words)

	Statistics of a function graph. (Site not responding. Last check: 2007-11-07)
		When the mouse passes the vale x = 10 the drawing stops and the resulting bargragh is integrated.
		When the mouse passes the value x = 10 the graph is fixed and the area, average, and variance are displayed.
		this graph is a function and should not be interpretted as a bar graph.)
	www.math.tamu.edu /~dallen/flash-demo/flash-stat/integrate.htm (77 words)

	Math Tools Browse (Site not responding. Last check: 2007-11-07)
		Definitions concerning improper integrals of functions with discontinuities.
		A graph of the function 1/(x^(1/3) - 1) compared to a function whose integral from 8 to infinity converges.
		Compare the graphs of the functions 1/(9-x)^(3/4) and 1/(9-x)^(4/3).
	mathforum.org /mathtools/cell/c,15.14.5,ALL,ALL (185 words)

	GRAPH A POLAR FUNCTION r (Site not responding. Last check: 2007-11-07)
		To graph a different function, edit the function expression.
		To zoom on a portion of the graph, first click on the top button on the right side of the graphing window called the Knife.
		Then use the mouse to box-off the portion of the graph to zoom-in on.
	cms.dt.uh.edu /faculty/becerral/GraphPolar.html (126 words)

	PART 2
		Find an exact point on the original function and a corresponding point on the resulting function.
		If you were to draw a tangent line to the graph where x = 1, would the slope of the tangent line be positive or negative.
		Use the average rate function to approximate the equation of the tangent line at x = 1.
	www.math.utep.edu /classes/precalculus/supplement/p2/Part2.html (1481 words)

	functions
		The use of trigonometric functions arises from the early connection between mathematics and astronomy.
		Business Functions is a library of up to nearly 500 high-performance functions running under Microsoft Excel, for financial analysis, planning and appraisal.
		The Bob Charest 8 piece band is perfect for any function from corporate events to the most unforgettable wedding.
	www.jointctr.org /?Category=functions (448 words)

	Sine Function
		The sine function is explored, interactively, using a large applet.
		To deeply understand the effects of each parameter on the graph of the function, we change one parameter at the time at the start.
		Explore interactively the relationship between the graph of sine function and the coordinates of a point on the unit circle Unit Circle and Trigonometric Functions sin(x), cos(x), tan(x)
	www.analyzemath.com /trigonometry/sine.htm (426 words)

	Guide to Script & Graph
		This program allows you to graph any mathematical function in two-dimensional Cartesian space provided it is not parametric.
		The mouse is required when zooming into a graph or finding certain value of a function.
		After this property has been activated, the program tracks all points of a function and computes the difference of angles of tangent lines to a function at two neighbouring points.
	doc.webpark.sk (1457 words)

	MAT 123 (Site not responding. Last check: 2007-11-07)
		Find the vertex point of the graph of this function.
		Use the horizontal line test to determine if this function is one-to-one.
		If the graph of a function and its inverse intersect, where must this necessarily occur?
	www.trinitydc.edu /academics/faculty/johnsonLA/OtherCourses/Fall2002/MAT123/Exams/Exam1.htm (211 words)

	dansmath - lessons page - precalculus (Site not responding. Last check: 2007-11-07)
		Graphs are a visual way of displaying numerical information.
		The graph of a function y = f(x) is the set of all points (x, y) with y = f(x),
		If you have the graph of y = f(x) you can move it to the right c units by graphing y = f(x - c).
	home.earthlink.net /~djbach/precalc.html (1718 words)

	The GRAPH_HIERARCHY_MENUE Function Module
		An ABAP program that calls this function module must be sure to use the STAT parameter.
		At least one of the calls to a graphics function module (not necessarily to GRAPH_HIERARCHY_MENUE) must be made with a Wait-for-input STAT value.
		The waiting function module receives this message and returns to the ABAP program with the number of the entry.
	help.sap.com /saphelp_45b/helpdata/en/52/670908439b11d1896f0000e8322d00/content.htm (209 words)

	Function Plotter (Site not responding. Last check: 2007-11-07)
		Here is a plotter to draw the graphs of functions and their Taylor polynomials.
		If you leave the number of terms in the Taylor polynomial empty and click "Plot," the graph of the function will appear.
		There are a few more options as well: you may zoom in on a region by holding the Control key and clicking on the graph.
	sunsite.ubc.ca /LivingMathematics/V001N01/UBCExamples/Plot/calc.html (183 words)

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