limits - calculus continuity of a hard question?

How do i calculate the continuity of a function if the functions are in a given set limit. I tried doing it but I epically failed… Please help!how do I solve it?
When I tried to solve this I got that this function was not continuous but I'm not sure if it is right. Thanks!
$$w(t)=\cases{ 48+3.64x+.6363x^2, & if $\ 1\le x \le 28$\cr -1004+65.8x ,& if $\ 28 \le x \le 56$}$$
Thank you so much!