1.6 Representation of Functions
Chapter 1: Chapter 1 · Maths · EN medium
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A function may be represented by (a) a set of ordered pairs (b) a table form (c) an arrow diagram (d) a graphical form Let f : ® be a function (a) Set of ordered pairs The set f f x ∈ { | ( ), } of all ordered pairs represent a function. (b) Table form The values of x and the values of their respective images under f can be given in the form of a table . (c) Arrow diagram An arrow diagram indicates the elements of the domain of f and their respective images by means of arrows. (d) Graph The ordered pairs in the collection f f x ∈ {( ) | } ( ), are plotted as points in the XY - plane. The graph of f is the totality of all such points. Every function can be represented by a curve in a graph.
📖 Class 10 Mathematics English 2025 Edition www.tntextbooks.in (1) · Page 21
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A function may be represented by (a) a set of ordered pairs (b) a table form (c) an arrow diagram (d) a graphical form Let f : ® be a function (a) Set of ordered pairs The set f f x ∈ { | ( ), } of all ordered pairs represent a function. (b) Table form The values of x and the values of their respective images under f can be given in the form of a table . (c) Arrow diagram An arrow diagram indicates the elements of the domain of f and their respective images by means of arrows. (d) Graph The ordered pairs in the collection f f x ∈ {( ) | } ( ), are plotted as points in the XY - plane.
The graph of f is the totality of all such points. Every function can be represented by a curve in a graph. But not every curve drawn in a graph will represent a function. The following test will help us in determining whether a given curve is a function or not.
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