The function `f(x) = {(1 + x", when " x le 2),(5 -x ", when " x gt 2):}` is

If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt 2):} is continuous at x = 2 then k = ?

Discuss the continutiy of the function f(x)= {(4x-2", " x le 2),(3x", " x gt 2):}

Discuss the continutiy of the function f(x)= {(4x-2", " x le 2),(3x", " x gt 2):}

Show tha the function f (x) = {{:(1+x"," if x le 2 ,), ( 5-x "," if x gt 2):} is not differentiable at x = 2 .

Show that the funcation f(x)={{:(3x-2",", " when ", x le0),(x+1",", " when ", x gt 0):} is discontinuous at x =0

Sketch the graph of the function : " "y=f(x)={:{(-x",", "when "x le 0),(x",", "when "x gt0):} From the graph examine the continuity of f(x) at x = 0.

Examine the continuity of the function f(x)= {(1+x",","if " x le 2),(5-x",","if" x gt 2):} at x= 2

Discuss the applicability of Rolle's Theorem for the function : f(x) {:{((x^2+1), whe 0 le x le 1),(3-x, when 1 < x le 2):}

Discuss the applicability of Rolle's theorem on the function f(x) = {((x^(2) + 1),"when " 0 le x le 1),((3 -x),"when " 1 lt x le 2):}

Show that the function f(x)={:{(1+x ", " x le2","),(5-x", "x gt2):} is not differentiable at x=2