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Practice for Points of Interest - Discontinuities.
1 : Consider the following graph.
Does the above graph have any hole discontinuities?
1.1 : What is the approximate -value of the hole?
A hole is the type
of discontinuity that is a single missing point in an otherwise continuous
graph. This may not look like it quite right (another example of graphing
being misleading, but not on purpose this time) but the -value is actually .
1.1.1 : Is there a jump discontinuity?
220.127.116.11 : What is the approximate -value of the jump discontinuity?
discontinuity is the type of discontinuity that has a finite vertical jump between the
18.104.22.168.1 : Is there an infinite discontinuity?
22.214.171.124.1.1 : What is the approximate -value of the infinite discontinuity?
infinite discontinuity is the type of discontinuity that has a vertical asymptote.