Continuity Exploration

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? (Slide the dot to change the graph.)

Graph for Question 2

2) Why is this function not continuous at x = a? (Slide the dot to change the graph.)

Graph for Question 3

3) Why is this function not continuous at x = a? (Slide the dots to change the graph.)

4) Which of the functions below is NOT continuous at x=0 because of the reason in Question 1?

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5) Which of the functions below is NOT continuous at x=0 because of the reason in Question 2?

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6) Which of the functions below is NOT continuous at x=0 because of the reason in Question 3?

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7) Which of the functions below IS continuous at x=0?

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