In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle...
7 KB (961 words) - 21:02, 19 December 2024
The graph of a cubic function always has a single inflection point. It may have two critical points, a local minimum and a local maximum. Otherwise, a cubic...
12 KB (1,746 words) - 20:04, 30 September 2024
the graph of a function. There may not be a single function whose graph can represent the entire relation, but there may be such a function on a restriction...
23 KB (3,828 words) - 01:53, 12 October 2024
a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph between...
35 KB (5,856 words) - 02:00, 16 December 2024
on the x-axis of the graph, as the projection of the graph of the function onto the x-axis. For a function f : X → Y {\displaystyle f\colon X\to Y} , the...
8 KB (962 words) - 05:55, 6 December 2024
a graph in the sense of discrete mathematics Graph of a function Graph of a relation Graph paper Chart, a means of representing data (also called a graph)...
1 KB (186 words) - 21:14, 30 November 2024
a function is uniquely represented by the set of all pairs (x, f (x)), called the graph of the function, a popular means of illustrating the function...
75 KB (11,317 words) - 23:28, 2 December 2024
Asymptote (redirect from Asymptotic function)
curve. There are three kinds of asymptotes: horizontal, vertical and oblique. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes...
29 KB (4,505 words) - 02:15, 2 December 2024
term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight...
5 KB (651 words) - 00:22, 14 November 2024
Second derivative (category Functions and mappings)
of the graph. The graph of a function with a positive second derivative is upwardly concave, while the graph of a function with a negative second derivative...
15 KB (2,013 words) - 08:18, 28 August 2024
Differential calculus (redirect from Increments, Method of)
differentiation. Geometrically, the derivative at a point is the slope of the tangent line to the graph of the function at that point, provided that the derivative...
31 KB (4,447 words) - 13:51, 25 November 2024
periods of the function. Geometrically, a periodic function can be defined as a function whose graph exhibits translational symmetry, i.e. a function f is...
12 KB (1,704 words) - 04:38, 30 November 2024
Inflection point (redirect from Point of inflection)
curvature changes sign. In particular, in the case of the graph of a function, it is a point where the function changes from being concave (concave downward)...
10 KB (1,219 words) - 15:57, 31 August 2024
Sine and cosine (redirect from Sine function)
advantage of drawing a graph of sine and cosine functions. This can be done by rotating counterclockwise a point along the circumference of a circle, depending...
55 KB (6,987 words) - 09:38, 9 December 2024
Derivative (redirect from Derviative of a function)
of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent...
57 KB (7,281 words) - 09:44, 11 December 2024
Saddle point (category Differential geometry of surfaces)
In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions...
9 KB (1,010 words) - 18:22, 9 November 2024
Vertical line test (category Functions and mappings)
test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If a vertical...
1 KB (145 words) - 15:00, 17 October 2023
injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to distinct elements of its...
16 KB (2,558 words) - 00:04, 24 November 2024
integer. Even functions are those real functions whose graph is self-symmetric with respect to the y-axis, and odd functions are those whose graph is self-symmetric...
16 KB (2,514 words) - 18:12, 12 September 2024
Linear equation (redirect from Equation of a straight line)
= − a b x − c b . {\displaystyle y=-{\frac {a}{b}}x-{\frac {c}{b}}.} This defines a function. The graph of this function is a line with slope − a b {\displaystyle...
13 KB (2,140 words) - 14:32, 20 November 2024
Domain coloring (redirect from Color wheel graphs of complex functions)
analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By...
13 KB (1,541 words) - 21:25, 12 December 2024
Stationary point (redirect from Horizontal point of inflection)
in calculus, a stationary point of a differentiable function of one variable is a point on the graph of the function where the function's derivative is...
10 KB (1,162 words) - 18:47, 27 February 2024
(Rademacher's theorem). When we try to draw a general continuous function, we usually draw the graph of a function which is Lipschitz or otherwise well-behaved...
20 KB (2,395 words) - 13:55, 9 October 2024
the graph of a function. Although implicit in the development of calculus of the 17th and 18th centuries, the modern idea of the limit of a function goes...
68 KB (11,103 words) - 13:01, 4 December 2024
Lipschitz continuity (redirect from Lipschitz function)
real number such that, for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is not greater...
18 KB (2,629 words) - 05:53, 7 October 2024
given a graph G = (V, E), a vertex labeling is a function of V to a set of labels; a graph with such a function defined is called a vertex-labeled graph. Likewise...
9 KB (1,060 words) - 22:11, 26 March 2024
Y-intercept (category Functions and mappings)
-intercept or vertical intercept is a point where the graph of a function or relation intersects the y {\displaystyle y} -axis of the coordinate system. As such...
3 KB (433 words) - 21:30, 16 April 2024
} If the function maps real numbers to real numbers, then its zeros are the x {\displaystyle x} -coordinates of the points where its graph meets the...
8 KB (1,038 words) - 06:00, 4 April 2024
mathematics, the Ihara zeta function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta function, and is used to relate...
6 KB (781 words) - 23:35, 17 August 2023
be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical...
15 KB (2,497 words) - 15:49, 28 October 2024