2. Given points $A(0,4), B(4,0)$. If the parabola $y=x^{2}-m x+m+1$ intersects the line segment $A B$ (excluding endpoints $A$ and $B$) at two distinct points, then the range of values for $m$ is $\qquad$.
2. $\left(3, \frac{11}{3}\right)$