Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 909: 30

The function is discontinuous at $x=2$.

We can see that the graph has a jump discontinuity at $x=2$. The left and right limits do not match each other and neither matches the function value at $x=2$. Therefore, the function is said to be discontinuous at $x=2$.