*[[ThreeA '''two-dimensional graph ]]''' may refer to ▼A '''two-dimensional graph''' is a set of points in [[two-dimensional space]]. If the points are [[Function of a real variable|real]] and if [[Cartesian coordinates]] are used, each [[axis (mathematics)|axis]] depicts the potential values of a particular [[real number|real variable]]. Often the variable on the horizontal axis is called ''x'' and the one on the vertical axis is called ''y'', in which case the horizontal and vertical axes are sometimes called the ''x'' axis and ''y'' axis respectively. With real variables on the axes, each point in the [[graph of a function|graph]] depicts the values of two real variables.
* The [[graph of a function]] of one variable
* A [[planar graph]]
* A [[diagram]] in a plane
{{mathdab}}
Alternatively, each point in a graph may depict the value of a single [[complex variable]]. In this case, the horizontal axis is called the real axis and depicts the potential values of the real part of the [[complex number]], while the vertical axis is called the [[imaginary number|imaginary]] axis and depicts the potential values of the imaginary part of the complex number.
==Graph of a function==
[[Image:cubicpoly.svg||right|thumb|400 px| Graph of the function <math>f(x)={{x^3}-9x} \!\ </math>]]
{{Main|Graph of a function}}
If the relation between the two real variables is of the form <math>y=f(x)</math> where ''f'' is a [[Function (mathematics)|function]] giving a single value of ''y'' associated with each admissible value of ''x'', then the graph is called the graph of a function. The function could be a [[polynomial]] function or a [[transcendental function]].
For example, the graph of the [[cubic polynomial]]
: <math>f(x)={{x^3}-9x} \!\ </math>
is
: {(''x'', ''x''<sup>3</sup>−9''x'') : ''x'' is a real number}.
If this set is plotted on a [[Cartesian plane]], the result is a curve (see figure).
{{Clear}}
[[File:Binary logarithm plot with ticks.svg|left|thumb|upright=1.35]]
An example of a two-dimensional graph of a transcendental function is the graph of the [[logarithmic function]] at the left.
==Graph of a non-function relation==
{{further|Plane curve}}
[[Image:Circle center a b radius r.svg|thumb|right|Circle of radius ''r'' = 1, centre (''a'', ''b'') = (1.2, −0.5)]]
In some cases a polynomial in two variables cannot be rewritten in the form <math>y=f(x)</math>. In other words, it is not a function. Nevertheless, the set of all points satisfying the equation can still be plotted as a two-dimensional graph, as in the accompanying graph of the circle <math>(x-a)^2+(y-b)^2=1.</math>
==Superimposed graphs of more than one function==
[[File:Supply-and-demand.svg|thumb|left|240px|The price P of a product is determined by a balance between production at each price (supply S) and the desires of those with [[purchasing power]] at each price (demand D). The diagram shows a positive shift in demand from D<sub>1</sub> to D<sub>2</sub>, resulting in an increase in price (P) and quantity sold (Q) of the product.]]
In some contexts it is useful to graph two or more functions together in the same diagram. An example is the [[supply and demand]] graph commonly used in [[Economic graph|economics]], shown here.
== Graph of geometric shapes ==
[[File:Area.svg|thumb|250px|Geometric shapes in 2 dimensions]]
Two-dimensional [[geometric shape]]s are sets of points bounded by [[line segment]]s or [[curve]]s, so a shape can also be constructed by graphs of several equations of its boundary. [[Polygon]]s are the shapes that only bounded by line segments. These can be visualized by using two-dimensional graphs. Graphs of two polygons, a [[parallelogram]] and a [[right triangle]], are shown here along with the graph of a circle.
==See also==
*[[Graph (disambiguation)]]
▲*[[Three-dimensional graph]]
*[[List of two-dimensional geometric shapes]]
*[[Analytic geometry]]
*[[Cartesian coordinate system]]
*[[Euclidean space]]
*[[Coordinate system]]
*[[Dimension]]
[[Category:Charts]]
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