A function f is said to be even, if

A function is said to be even if f(x)=f(-x). Which of the following is not an even function?

A function is said to be bijective if it is both one-one and onto, Consider the mapping f : A rarr B be defined by f(x) = (x-1)/(x-2) such that f is a bijection. A function f(x) is said to be one-one iff :

Define identity function. (A) A function f A to A is said to be an identitiy function on A if f(x) = x, AA x in A .

Define Constant function. (A) A function f:A to B is said to be a constant function if f(x) = k, AA x in A , k is a fixed element of B.

Statement True/ False: br If f(x) gt 0 then the function f(x) is said to be decreasing.

Define an even function, odd function. Give an example to each (A) A fuction f(x) is said to be an {:((i)"even function"if f(-x)=f(x),Ex:f(x)=x^(2)),((ii)"odd function" If f(-x)=-f(x),Ex:f(x)=x^(3)):} .

Function is said to be onto if range is same as co - domain otherwise it is into. Function is said to be one - one if for all x_(1) ne x_(2) rArr f(x_(1)) ne f(x_(2)) otherwise it is many one. Function f:R rarr R, f(x)=x^(2)+x , is

Function is said to be onto if range is same as co - domain otherwise it is into. Function is said to be one - one if for all x_(1) ne x_(2) rArr f(x_(1)) ne f(x_(2)) otherwise it is many one. A function f: [0, oo) defined as f(x)=(x)/(1+x) is

A function f(x) is defined as even if and only if f(x) = f(-x) for all real values of x. Which one of the following graphs represents an even function f(x) ?