1. Graph the following piecewise - defined function. Find domain and range and
present the table of ordered pairs you use to graph it.
2. Is this function continuous on its domain? State the definition of continuity of
a function at a point.
3. Is this function differentiable on its domain? Explain why or why not.
$f(x) = \begin{cases} x^2 - 1, & x \le 1 \\ 2^x, & x > 1 \end{cases}$