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Functions, Wiki_constant_function_175_200 - Coggle Diagram
Functions
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Piecewise Functions:
A piecewise defined function is a function defined by at least two equations ("pieces"), each of which applies to a different part of the domain.
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One To One:
A one-to-one function is a function in which the answers never repeat. A normal function can have two different input values that produce the
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Into function:
Function f from set A to set B is Into function if at least set B has a element which is not connected with any of the element of set A.
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Onto Function:
Function f from set A to set B is onto function if each element of set B is connected with set of A elements.
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Linear Function
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
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Inverse of a Function
f : A B →, the function y = f(x) is given and
it is 1-1 and onto. For x A ∈, if whenever
f(x) = y, f-1(y) = x, then the function f-1is
said to be inverse of the function f. f-1is a
function defined from the set B to the set A
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Constant Function:
Given f : A B →, if f maps all the elements of set A to one and only one element of set B, this function is called as a constant function and is denoted by f(x) = c where c is a constant real number.
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What is function?
Function is defined as if each element of set A is connected with the elements of set B, it is not compulsory that all elements of set B are connected; we call this relation as function.
Equal Function
Letf : A B →and g: A B →be two functions. ∀ ∈x A ,If f(x) g(x) =then f and g are called equal functions and denoted as f = g.In order to decide on the equality of two functions, the requirements are as follows;1. The domain and the range of the functions must be equal.2. The image of each element of the domain under both functions must be equal.
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