### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Different Categories of function

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(i) Algebraic function:

Algebraic functions consist of algebraic operations such as addition, subtraction, multiplication, division, square, square root, etc.

Polynomial functions, the rational functions are such type of algebraic function.

(ii) Transcendental function:

The functions which are not algebraic are called the transcendental function.

(a) Trigonometric function:

Sine:

Cosine:

Tangent: where

Co-tangent: where

Secant:

CoSecant:

The above functions are trigonometric functions.

(b) Inverse Trigonometric function:

are inverse trigonometric function.

(c) Exponential function:

and are called exponential function.

are all exponential function.

(d) Logarithmic function:

Function etc. are called logarithmic function.

(e) Irrational Power function:

Irrational powers of positive real numbers such as etc. are irrational power functions.

(iii) Odd and even functions:

The function is called odd if and it is called even if .

If is a real function, then

and

Since

is written as “every function can be written as the sum of an odd and an even function.”

(iv) Periodic function:

A function is called periodic with period if for some constant .

The least positive value of for which holds is called the fundamental period of .

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