If `f(x)={x^2+1, 0 <= x < 1, -3x+5 , 1 <= x <= 2`

Let f:[0,5] to [-1,5] , where f(x)={x^2-1,0 then f(x) is : (A) one-one and onto (B) one-one and into (C) many one and onto (D) many one and into

Show that f(x)={1+x^2, if 0 1 is discontinuous at x=1 .

examine the differentiability of f(x)={[x^(2)+1, if 0<=x<=1],[3-x, if 1<=x<=2] at x=1

f(x) = x^2 +1 ,0 le x le 2 find the range of the function f.

Discuss the continuity of f(x)={2x-1,\ \ \ x<0 ; {2x+1,\ \ \ xgeq0 at x=0

Show that f(x)={1+x^(2), if 0 1 is discontinuous at x=1

If f(x) = x^2+1/x,xne0 then f(1/x) =

If f(x)={(2x-1, xle0 ),(x+1,0ltxlt2),(4-5x, xge2)} find f(0),f(-1),f(1),f(2),f(4).

Discuss the applicability of Rolles theorem on the function f(x)={x^(2)+1, when 0<=x<=1 and 3-x, when 1