## Most Important Types of functionsare

Some important types are functions are given below:

### Algebraic Function Definition Short

Algebraic function are those functions which are defined by algebraic expressions.

### Linear functions Short Definition With Example

If the degree of polynomial function is 1, then it is called a linear function. linear function is of the form:

f(x) = ax + b (a not equal to 0) a, b, are the 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 number.

### Identity of Trigonometric Functions

For any set X, a function I : X → X of the form I(x) = x ∀  x 𝛜 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 𝛜 R, is the identity function.

### Constant Function Examples and Definition

Let X and Y be sets of real numbers. A function C : X  → Y defined by C(x) = a, ∀  x 𝛜 X , a 𝛜 Y and defined by is called a constant function. for example, C: R  → R defined by C(x) = 2 ,  ∀  x 𝛜 R is a constant function.

### What is Rational functions in Math?

A function R(x) of the form P(x)/Q(x), were both P(x) and Q(x) are polynomial functions and Q(x) ≠ 0 is called a rational function. The domain of a rational function R(x) is the set of all realm numbers x for which Q(x)  ≠ 0.