Type of Functions
Functions of Class 11
Type of Functions
(a) One-One (Injective)
If x1, x2 ∈ A
then f(x1) = f(x2) ⇒ x1 = x2
and x1 ≠ x2 ⇒ f(x1) ≠ f(x2)
(b) Many-One
If x1, x2 ∈ A, f(x1) = f(x2) ⇒ x1 ≠ x2
(c) Onto (Surjective) and Into
If f(A) = B i.e. Range = co-domain then the function is ONTO (Surjective) and If f(A) ⊂ B i.e. Range ⊂ co domain then the function is INTO.
One-One onto functions are also called bijective functions.
- Introduction
- Algebraic Operations On Functions
- Type of Functions
- Composition of functions
- Invertible Functions
- Domain and Range of Inverse Trigonometric Functions
- Odd And Even Functions
- Periodic Functions
- Methods to Find Period of A Periodic Function
- Signum Function
- Greatest Integer Function
- Modulus Function or Absolute Value Function
- Rational And Irrational Function
- Algebraic And Transcendental Function
- Explicit Function
- Exercise 1
- Exercise 3(Subjective)
