Single Variable Calculus, Chapter 2, 2.5, Section 2.5, Problem 3

(a) Given the graph of $f$, state the numbers at which $f$ is discontinuous and explain why.










Referring to the graph of $f$, the graph is discontinuous at number -4 because $f(-4)$ is not defined. Also, the function is discontinuous at -2 and 2 because
the left and right hand limits are different. Lastly, the graph is discontinuous at number 4 because of infinite discontinuity.

(b) Determine whether $f$ is continuous from the right, or from the left, or neither from the numbers stated in part (a)

Referring to the graph, the function is continuous from left at $x = -2$ and $x=-4$.
Also, the function is continuous from right at $x = 2$ and $x = 4$