Maths Class 11 Chapter 2. Relations And Functions | Page 13

Graph of Greatest Integer function f ( x ) =[ x ] . Domain = R & Range = W . o [ x ] = – 1 for – 1 ≤ x < 0 o [ x ] = 0 for 0 ≤ x < 1 o [ x ] = 1 for 1 ≤ x < 2
Algebra of function o Addition of two real functions : f ( x ) + g ( x ) o Subtraction of a real function from another : f ( x ) - g ( x ) o Multiplication by a scalar : a * f ( x ) o Multiplication of two real functions : f ( x ) * g ( x ) o Quotient of two real functions : f ( x ) / g ( x ) where g ( x )= 0