Check the continuity of 'f' given by `f(x)={(4-x^(2)" "ifxle0),(x-5" "if0ltxle1),(4x^(2)-9if1ltxlt2),(3x+4ifxge2"at point s"):}`
x = 0, 1, 2.

Check the continuity of function defined by f(x)={{:(4-x^(2),if, x le0),(x-5,if, 0 lt x le1),(4x^(2)-9, if,1 lt x lt 2),(3x+4,if,x ge 2):} at the points x=0, and 2.

Check the continuity of the function f(x)=2x-1, if x =0

If f(x)={{:(5x-4",",0ltxle1),(4x^(2)+3ax",",1ltxlt2):}

Given the function f (x) = {-x^2 if xleo , 5x-4 if 0ltxle1 , 4x^2-3x if 1ltxlt2 , 3x+4 if xge2 Complete the following table

If f(x) = {(x-5,x le1),(4x^(2)-9, 1ltxlt2),(3x+4, x ge2):} then f^(')(2^(+)) =

Examine the differentiablity at x = 0,1,2 of the function f defined by f(x)={(4-x,xle0),(5x+4,0ltxle1),(4x^2-3x,1ltxlt2),(3x+4,xge2):}

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is