Problems For Section 5.3

1           This figure is a sketch of a curve y = f(x). At which points x = c do the following

happen?

(a) f is discontinuous at c

(b) lim_x→c+ f(x) does not exist

(c) lim_x→c- f(x) does not exist

(d) f is not differentiable at c

(e) lim_x→c+ f'(x) does not exist

(f) lim_x→c- f'(x) does not exist.

In Problems 2-42, sketch the graph of f(x). Use a table of values of f(x), f'(x), f"(x), and limits of f(x) and f'(x).

In Problems 43-55, graph the given function.