2.7.10 Function properties

Condition: Examine the function for continuity, determine the type of discontinuity points: \[ y=\left\{\begin{array}{cc} x^{2}-x, & x<1 \\ 2-x, & 1 \leq x \leq 4 \\ \frac{1}{x-4}, & x>4 \end{array}\right. \]