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Continuity

Ideas to ponder and discuss with your neighbors: 1) What are all of the discontinuities in this function? (Is it appropriate to call this a function?)--Hint--Use the blue slider to control the red point. 2) There are three different classifications of discontinuities, and all three are represented in the graph. Discuss the three different types and come up with good names for them. 3) There is something called a "removable" discontinuity. What do you think this means and which ones are removable?