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)={(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)={(-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)={(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|

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)

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

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

find the points of discontinuity of the function f defined by f(x) = {(|x|/x, x ne 0),(0,x=0):}