Show that the function `f(x) = 1/x ` is odd.

Show that the function f(x) = x -(1)/(x) is a strict increasing function fox x > 0

Show that the function f(x) = 2x+9 is one-one.

Show that the function f (x) = (x)/(1+|x|) is a strict increasing function.

Show that the function f(x) = |x-1| +1| for all x in R , is not differentiable at x = -1 and x =1

Show that the function f(x) = |x + 1| + | x - 1| is continuous at x = -1 , x = 1

Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0):} is not continous at x = 0 .

Show that the function f(x) = {{:(2 + x"," , "if " x ge 0),(1",", "if " x lt 0):} is not continuous at x = 0

Show that the function given by f(x) = 3x + 17 is increasing on R.

Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} is continuous but not differentiable at x= 0.