There are following Algebraic Functions.(1) Polynomial Function (2) Linear Function (3) Identity Function (4) Constant function (5) Rational function
(1) Polynomial FunctionA function say P of the form P(x) = an xn+an-1 xn-1+an-2 xn-2+an-3 xn-3+. . . + a2 x2+ a1 x+a0 for all where the coefficient an, an-1, an-2, . . . , a2, a1, a0 are real numbers and the exponents are non-negative integers, is called a polynomial function. The dom and R of For éxample, |
(2) Linear FunctionIf the degree of a polynomial function is 1, then it is called a linear function. A linear function is of the form f(x) = ax +b(a≠0) where a, b are real numbers. For example f(x)=3x+4,or y=3x +4 is a linear function. Its domain and range are the set of real numbers |
(3) Identity FunctionFor any set X, a function I:X→X of the form I(x)=x for all x ∈ X, is called an identity function. Its domain and range is the set X itself. In particular if X=R. then I(x) = x, for all x ∈ R. is the identity function. |
(4) Constant functionLet A and S be the sets of real numbers. A function denoted as C : A→S defined by C(x) = a for all x ∈ X, a ∈ Y and fixed is called a constant function. For example, C:R→R defined by C(x) = 2. for all x ∈ R is a constant function. |
(5) Rational functionA function R(x) of the form |