Chapter 2.2, Problem 50E

Consider the function f(x) whose graph is shown below:

Sketch a graph of a function that satisfies all of the following properties. a) f(-6) is undefined, but lim f(x) exists. 2- X→-6 b) lim f(x) does not exist. |-6 |-4. |-2 2. 4 6. X→-4 c) f(-2) = -2, but f is not -2- differentiable at x = -2. d) lim f (x) = ∞ X→2 -4- 4.

For the function g(x), whose graph is shown below, state the given values, if they exist. If they do not exist, explain your reasoning. 3 2 -1 a. lim g(x)= ー→が lim g(x)= lim g (x)= g(b) = b. lim g(x)= lim g (x)= lim g(x)= 8(0) = X-0 『ー0° c. For the graph shown above, on what interval(s) is g (x) continuous? Be mindful to use appropriate brackets in your answer to communicate whether or not endpoints on your interval(s) are included.