[" Let "f(x)=(x+|x|)|x|." Then,for all "x],[" (a) "f" and "f'" are continuous."]

Let f(x)=(x+|x|)|x| . Then, for all x f is continuous

Let f(x)=(x+|x|)|x|. Then,for all x is continuous (b) f is differentiable for some x (c) f' is continuous (d) f is continuous

Let f(x)=(x+|x|)|x|. then,for all x*f is continuous (b) f is differentiable for some xf is continuous (d) f' is continuous

Let f(x+y) = f(x) + f(y) for all x and y. If the function f (x) is continuous at x = 0 , then show that f (x) is continuous at all x.

Let f(x+y)=f(x)+f(y) for all x and y If the function f(x) is continuous at x=0 show that f(x) is continuous for all x