Question

The graph of a piecewise function, f x( )is plotted in Figure 1. Discuss the continuity of f x( )at x =−1using the continuity test

Answer 1

the graph is not continuous at x=-1

$\lim _{x\rightarrow-1^-}f(x)\ne\lim _{x\rightarrow-1^+}f(x)\ne f(-1)$