Find the Continuity of function `f(x)` .
`f(x) = {{:(|x|+3, if, x le -3),(-2x, if, -3 lt x lt 3),(6x+2,if,x ge 3):}`

Examine the continuity of the function f(x) =2x^2-1 at x=3.

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

Check the continuity of the function f(x) given f(x) = 2x+3" at " x=1 .

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, 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):} .

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1 .

Find the domain of the functions f(x) = (3x)/(x^(2) + 3x +2)