A function defined for all real numbers ...

A function defined for all real numbers is defined for `x>-0` as follows `f(x)={x|x|, 0<=x<=1, 2x, x>=1}` How if f defined for `x<=0`. If (i) f is even ? (ii) f is odd ?

Similar Questions

Explore conceptually related problems

A function is defined for all real numbers is defined for xgt0 as follows: f(x)={(x|x|, 0lexlt1), (2x, xge1):} How is f defined for xle0 If f is even

A function is defined for all real numbers is defined for xgt0 as follows: f(x)={(x|x|, 0lexlt1), (2x, xge1):} How is f defined for xle0 If f is odd

If R denotes the set of all real numbers then the function f: RtoR defined f(x) = |x|

In the function f(x) is defined for x in[0,1] then the function f(2x+3) is defined for

If a funciton f(x) is defined for x in [0,1] , then the function f(2x+3) is defined for

A differentiable function f defined for all x > 0 and satisfies f(x^2)=x^3 for all x > 0. What is the value f'(16) ?

A differentiable function f defined for all x>0 satisfies f(x^(2)) = x^(3) for all x>0. what is f'(b)?

If R denotes the set of all real number,then the function f:R to R defined f(x) = |x| is :