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Continuity Questions

The following questions relate to continuity of a function f at an input value x = a. If you need a refresher on what it means for a function to be continuous at any input value, refer to this worksheet.

Graph for Question 1

1)

Why is this function not continuous at x = a?

Graph for Question 2

2)

Why is this function not continuous at x = a?

Graph for Question 3

3)

Why is this function not continuous at x = a?