Discuss continuity of
(i) `f(x) = sgn(x^(3)-x) (ii) f(x) = sgn(2 cos x-1)`
(iii)` f(x) = sgn(x^(2)-2x+3)`

Discuss the continuity of f(x)=sgn(x^2-2x+3)

Discuss the continuity of f(x)=|x|sgn(x^3-x)

Discuss the continuity of f(x)=sgn(x^3-x)

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

f(x)=x sgn (x^(2)) should be

Draw the graph of f(x) = "sgn"(x^(3) -x) .

f(x)=sgn(cot^(- 1)x),g(x)=sgn(x^2-4x+5)

Find the range of the following (i) f(x) = x^(2) (ii) f(x) = x (iii) f(x) = x^(2) + 2 (iv) f(x) = x^(3)

Sketch the graph of {:((i) f(x)=sgn(x^(2)+1),(ii) f(x)=sgn(log_(e)x)),((iii) f(x)=sgn(sin x), (iv) f(x)=sgn(cos x)):}