Is the function f , defined by `f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):}` continuous on R ?

Is the function f, defined by f(x) = {(x^2, if x le1),(x, if x > 1):} continuous on R?

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

Is f defined by f(x)={{:((sin2x)/(x),"if "xne0),(1,"if "x=0):}" continuous"0 ?

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

If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a continuous function on R, then find k .

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

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?