Examine continuity at the given point of the function f defined by `f(x)={(-x,xlt0),(x,0lexle1,),(2-x,xgt1,):} at x=0,1`

Examine continuity at the given point of the function f defined by f(x)={(x,xlt1),(1,x=1,),(2-x,xgt1,at x =1):}

Examine continuity at the given point of the function f defined by f(x)={(-2,xlt0),(0,x=0,),(2,xgt0,at x =0):}

Examine continuity at the given point of the function f defined by f(x)={(1-x,0 lexle1),(x-1,xgt1,):} at x=1

Examine continuity of the function f defined by. f(x)=x-5

Examine continuity of the function f defined by. f(x) =|x-5|

Examine continuity of the function f defined by. f(x) =frac(1)(x-5)

Sketch the graph of the function f given by f(x)={(-1,xle0),(x^2,x>0):}

Examine continuity of the function f defined by. f(x) = frac (x^2-25)(x+5)

find the points of discontinuity of the function f defined by f(x) = {(4x+1,x 0):}

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):}