The function f is defined by `f(x)={(,1-x,x lt 0),(,1,x=0),(,x+1,x gt 0):}`
Draw the graph of f(x).

Find all the points of discontinuity of the function f defined by f(x)= {(x+2",",if x lt 1),(0, if x =1),(x-2",", if xgt 1):}

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is(a) continuous at x = 0 ,(b) continuous at x = 1 (c)differentiable at x = 0

Is the function f defined by f(x)= {(x",","if" x le 1),(5",","if" x gt 1):} continuous at x=0 ? At x= 1 ? At x=2 ?

Discuss the continuity of the function f defined by f(x)= {(x+2",","if" x le 1),(x-2",","if" x gt 1):}

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

Discuss the continuity of the function defined by f(x) = {(x+2",","if " x lt 0),(-x+2",","if " x gt 0):}