I need help finding the discontinuities in this graph. If I understand correctly, they should include -3, 2, and 4, but I think I'm missing some. Can anyone help?

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Answer 1 · 2018-03-07T07:53:30

#-3, -2, 2, 4#

Given: Find discontinuities in the graph

#f(x)# is continuous at #a# if #lim x->a, f(x) = f(a)#

Types of discontinuities: removable (holes, holes + dislocated point), non-removable (jumps, infinite - caused by asymptotes)

#x = -3#: non-removable - jump

#x = -2#: non-removable - infinite/jump

#x = 2#: removable - hole + dislocated point

#x = 4#: removable - hole

Note: #x = 0# is continuous, but f'(0) is undefined because of the sharp point.