Examine the continuity of the function `f(x)={3x-2,xlt=0x+1,x >0"a t"x=0` Also sketch the graph of this function.

Examine the continuity of the function f(x)=3x-2,xlt=0 , f(x)=x+1,x>0" at x=0 Also sketch the graph of this function.

Examine the continuity of the function f(x)={3x-2,\ \ \ xlt=0x+1,\ \ \ x >0 at x=0 . Also sketch the graph of this function.

Examine the continuity of the function f(x)={3x-2,quad x 0 at x=0. Also sketch the graph of this function.

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Examine the continuity of the function f(x) at x=0 for f(x)=x/(2|x|) where x!=0

Examine the continuity of the function f(x)={{:((|sinx|)/(x)", "x!=0),(1", "x=0):} at x=0

Examine the continuity of the function f (x)={((1)/(x+[x]),ifx<0),(-1,if xge0):} at x=0.

Discuss the continuity of the function : f(x)={{:(x",if "xge0),(x^(2)",if "xlt0):}

Consider the function f(x)(={(1-x,x 0)) (iii)Sketch the graph of the above function.