Question

Use the function and the accompanying figure to answer the following questions: (calculus)

Answer 1

$f(x)$ is defined at $x=2$; according to the plot, its value is $f(2)=3$.

It's not continuous at $x=2$, however, because the limit of $f(x)$ as $x\to2$ from either side is 1, but $f(2)=3\neq1$.