Is the function f defined by `f(x)={ [x ,;if x<=1 ],[5 ,;if x>1 ]:}`continuous at x=0 ? At x=1? At x=2? and find all points of discontinuity

Is the function defined by f(x)={x+5, if x 1 a continuous function?

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 ?

Is the function defined by f(x)={{:(x, ifxle1),(5, ifx >1):} a continuous function at x=0,x=1 and x=2

Is the function f defined by f(x)={x , if""""xlt=1 5, if""""x >1 continuous at x" "=" "0?" "A t" "x" "=" "1?" "A t" "x" "=" "2?

Find the value of a' if the function f(x) defined by f(x)={2x-1,quad x 2 is continuous at x=2

Find the value of a if the function f(x) defined by f(x)={2x-a,x 2 if function continuous at x=2

If the function defined by : f(x)={{:(2x-1", "xlt2),(a", "x=2),(x+1", "xgt2):} is continuous at x = 2, find the value of 'a'. Also discuss the continuity of f(x) at x = 3.

IF the function f(x) defined by f(x) = x sin ""(1)/(x) for x ne 0 =K for x =0 is continuous at x=0 , then k=

A function f is defined by the rule f(x)=[1-x]+[x-1]. discuss its continuity at x=1

Discuss the continuity of the function defined by f(x)={x+2, if x 0