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