Discuss the continuity of the function defined by `{{:(x+3," if "x le 0),(-x+3," if "x gt 0):}`

Discuss the continuity of the function f defined by {{:(x+4," if "x le 1),(x-4," if "x gt 1):} .

Discuss the continuity of the function f given by {{:(x," if "x ge 0),(x^3," if "x lt 0):} .

Discuss the continuity of the function f defined by f(x)= (1)/(x^2), x ne 0 .

Discuss the continuity of the function f given by f(x)= |x|" at "x=0 .

Discuss the continuity of the function f, where f is defined by f(x)={{:(3," if "0 le xle 1),(4," if "1 lt x lt 3),(5," if "3 le x le 10):} .