Hi Infi,

This is a piecewise function. The first branch is a horizontal line at F(x) = 4 for all x less than 2. f(2) is not defined on this branch.

The second branch is the right branch of a parabola starting at f(x) = x^2 for all x greater than or equal to 2.

Since the second branch includes f(2) = 4, the function is continuous for all values of x.