`f(x)={{:(1+x, if x le 2),(5-x,ifx gt 2):}` at `x = 2`.

f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5

f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5

f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5

Examine the continuity of the function f(x)= {(1+x",","if " x le 2),(5-x",","if" x gt 2):} at x= 2

f(x)={{:(x, if x le 1),(5, if x gt 1):} , then x=-1,x=0,and x=2 is

If f(x)={{:(x, if x le 1),(5, if x gt 1):} , then x=0,x=1,and x=2 is

f(x)={(1-x, x le1/2),(x,x gt 1/2):} at x=1/2

Show tha the function f (x) = {{:(1+x"," if x le 2 ,), ( 5-x "," if x gt 2):} is not differentiable at x = 2 .

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