`f(x)={x-1,` when `1 <= x < 2; 2x-3,` when `2 <= x <= 3` is continuous at `x=2.`

If f(x)=3x-1 when x geq1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f: R rarr R, f(x) ={(1,; "when " x in QQ), (-1,; "when " x !in QQ):} then image set of RR under f is

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

If f(x)={{:(3x-1" when "xle0),(x+1" when "xgt0):} , find f(-1) and f(0).

If f(x)={{:(2x-1,"when "xle0),(x^(2),"when "xgt0):},"then find "f((1)/(2)) and f((-1)/(2))

If f(x)=x^(2)+1, when x!=1 and f(x)=3 when x=1, prove that f(x) is not continuous at x=1.

Let, the function f:RRrarrRR be defined by, f(x)={:{(1 ,"when " x in QQ),(-1,"when "x !in QQ):}" find" pre-image of 1 and (-1)