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)\\e\lim _(x\rightarrow-1^+)f(x)\\e f(-1)`