A function defined for all real numbers is defined for `x ge 0` as follows `f(x)={{:(xabs(x)",",0 le x lt 1),(2x",", x ge 1):}`
How, if f defined for `x le 0`. If (i) f is even?`" "` (ii) f is odd?

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

Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}

A function is defined as follows f(x)={:{(x^(3),, x^(2)lt1),(x, , x^(2)ge 1):} then function is

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

If f(x)={{:(2+x",", x ge0),(4-x",", x lt 0):}, then f (f(x)) is given by :

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

The fuction f(x) is defined as follows: f(x) ={(2x-3,x lt 2),(x-1, x ge 2):} Prove that f(x) is continuous x at =2.

If f(x) ge0 for all x, then f(2-x) is

A function f is defined on the set of real numbers as follows: f(x)={(x+1, 1 le x lt 2),(2x-1, 2 le x lt 4), (3x-10, 4 le x lt 6):} (a) Find the domain of the function. (b) Find the range of the function.